Precalculus Examples

$a p^{2} + p y - x = 0$

Step 1

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

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Step 1.1

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

$p y - x = - a p^{2}$

Step 1.2

Subtract $p y$ from both sides of the equation.

$- x = - a p^{2} - p y$

Step 2

Divide each term in $- x = - a p^{2} - p y$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- x = - a p^{2} - p y$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- a p^{2}}{- 1} + \frac{- p y}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- a p^{2}}{- 1} + \frac{- p y}{- 1}$

Step 2.2.2

Divide $x$ by $1$ .

$x = \frac{- a p^{2}}{- 1} + \frac{- p y}{- 1}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Dividing two negative values results in a positive value.

$x = \frac{a p^{2}}{1} + \frac{- p y}{- 1}$

Step 2.3.1.2

Divide $a p^{2}$ by $1$ .

$x = a p^{2} + \frac{- p y}{- 1}$

Step 2.3.1.3

Dividing two negative values results in a positive value.

$x = a p^{2} + \frac{p y}{1}$

Step 2.3.1.4

Divide $p y$ by $1$ .

$x = a p^{2} + p y$