Finite Math Examples

$4 x - p^{2} - q = 0$

Step 1

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

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Step 1.1

Subtract $4 x$ from both sides of the equation.

$- p^{2} - q = - 4 x$

Step 1.2

Add $p^{2}$ to both sides of the equation.

$- q = - 4 x + p^{2}$

Step 2

Divide each term in $- q = - 4 x + p^{2}$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- q = - 4 x + p^{2}$ by $- 1$ .

$\frac{- q}{- 1} = \frac{- 4 x}{- 1} + \frac{p^{2}}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{q}{1} = \frac{- 4 x}{- 1} + \frac{p^{2}}{- 1}$

Step 2.2.2

Divide $q$ by $1$ .

$q = \frac{- 4 x}{- 1} + \frac{p^{2}}{- 1}$

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

Move the negative one from the denominator of $\frac{- 4 x}{- 1}$ .

$q = - 1 \cdot (- 4 x) + \frac{p^{2}}{- 1}$

Step 2.3.1.2

Rewrite $- 1 \cdot (- 4 x)$ as $- (- 4 x)$ .

$q = - (- 4 x) + \frac{p^{2}}{- 1}$

Step 2.3.1.3

Multiply $- 4$ by $- 1$ .

$q = 4 x + \frac{p^{2}}{- 1}$

Step 2.3.1.4

Move the negative one from the denominator of $\frac{p^{2}}{- 1}$ .

$q = 4 x - 1 \cdot p^{2}$

Step 2.3.1.5

Rewrite $- 1 \cdot p^{2}$ as $- p^{2}$ .

$q = 4 x - p^{2}$