EasySolve Instruction

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Adding a Formula

1. Press "Add formula": Enter a formula using LaTeX or ASCII math commands.
2. View Formula: The entered formula will appear on the canvas.
3. Select Parts: Click on parts of the formula to select them (selected parts are colored in blue).
4. Deselect Parts: Press Ctrl to deselect parts.
5. Add Text: Press "Add text" to enter any text using LaTeX.

Managing Formula Elements

• Copy, Edit, Delete, or Move: Use the buttons to the right of the formula to perform these actions.

Solving and Transforming Formulas

1. Press "Interaction" Button: This opens a tab with possible formula transformations.
2. Types of Transformations:
   • For Equations: Select the entire formula.
   • For Expressions: Select the part of the formula to modify.
3. Selecting Formula Parts: The selected element will appear in the field at the upper part of the tab. If the selection is impossible, the field will be empty.
4. Apply Transformation:
   • Click the button to the right of the desired transformation.
   • A transformation preview will appear.

Insertion Modes

1. Add to End:
   • Adds the modified formula part to the end of the formula after the "=" sign.
2. To the New Line:
   • Adds a new formula line where the selected part is replaced with its transformation.
3. Replace:
   • Replaces the selected formula part with its transformation.

Note: For "For Equations" transformations, the only possible mode is "to the new line."

Transformation Overview

Simplification

• Collect Like Terms:

  • Select two or more terms.
  • Example: Applying to 2x + 3y - x results in x + 3y.

• Simplify Fraction:

  • Removes fractions inside other fractions.
  • To apply, select the inner fraction.

• Simplify Term:

  • If there is a fraction, divides the numerator and denominator by their GCD.
  • To apply, select the term.

Note: Ensure you select the sign with the term. Correct selections include +2x, -5xyz.

Substitution

• Example: Substitute x = y + 5 into x + y = 12 to get y + 5 + y = 12.
• To apply:
  1. Select the entire formula from which you want to substitute.
  2. Use "substitute from" transformation.
  3. Select the expression equal to the left part and use "substitute to".

Moving & Grouping

• Group:

  • Add extra brackets around selected multipliers or terms.
  • Example: To transform x^2 * y^2 * z^2 into x^2 * (y^2 * z^2), use "group" or press Alt+G.

• Move Left/Move Right:

  • Change the position of a multiplier or term in an expression.
  • Select the term/expression and use the transformation or press left/right arrows.

• To Another Part:

  • Move selected terms to another part of the equation.
  • Example: x + y = 5 with 5 selected becomes x + y - 5 = 0.
  • Alternatively, use Shift+Enter.

Save Your Project

Press on the Three Dots located at the upper left corner of the solution.

1. Save As:

   • LaTeX: Saves your solution in LaTeX format.
   • Picture: Makes a picture/screenshot of the solution.
   • JSON File: Saves the solution in a JSON file. You can open it using the "Open From" button. Ctrl+S

2. Open From

   • Folder: Open previously saved project from a JSON file. Ctrl+O