Basic Math Examples

$y = \frac{f - x + x^{2}}{x^{2}}$

Step 1

Rewrite the equation as $\frac{f - x + x^{2}}{x^{2}} = y$ .

$\frac{f - x + x^{2}}{x^{2}} = y$

Step 2

Multiply both sides by $x^{2}$ .

$\frac{f - x + x^{2}}{x^{2}} x^{2} = y x^{2}$

Step 3

Simplify the left side.

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Step 3.1

Simplify $\frac{f - x + x^{2}}{x^{2}} x^{2}$ .

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Step 3.1.1

Cancel the common factor of $x^{2}$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{f - x + x^{2}}{x^{2}} x^{2} = y x^{2}$

Step 3.1.1.2

Rewrite the expression.

$f - x + x^{2} = y x^{2}$

Step 3.1.2

Simplify the expression.

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Step 3.1.2.1

Move $- x$ .

$f + x^{2} - x = y x^{2}$

Step 3.1.2.2

Reorder $f$ and $x^{2}$ .

$x^{2} + f - x = y x^{2}$

Step 4

Move all terms not containing $f$ to the right side of the equation.

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Step 4.1

Subtract $x^{2}$ from both sides of the equation.

$f - x = y x^{2} - x^{2}$

Step 4.2

Add $x$ to both sides of the equation.

$f = y x^{2} - x^{2} + x$