Finite Math Examples

$2 {(- 1)}^{4} - 5 {(- 1)}^{2} + c (- 1) + 1 = c$

Step 1

Simplify $2 {(- 1)}^{4} - 5 {(- 1)}^{2} + c (- 1) + 1$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Raise $- 1$ to the power of $4$ .

$2 \cdot 1 - 5 {(- 1)}^{2} + c (- 1) + 1 = c$

Step 1.1.2

Multiply $2$ by $1$ .

$2 - 5 {(- 1)}^{2} + c (- 1) + 1 = c$

Step 1.1.3

Raise $- 1$ to the power of $2$ .

$2 - 5 \cdot 1 + c (- 1) + 1 = c$

Step 1.1.4

Multiply $- 5$ by $1$ .

$2 - 5 + c (- 1) + 1 = c$

Step 1.1.5

Move $- 1$ to the left of $c$ .

$2 - 5 - 1 c + 1 = c$

Step 1.1.6

Rewrite $- 1 c$ as $- c$ .

$2 - 5 - c + 1 = c$

Step 1.2

Simplify by adding and subtracting.

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Step 1.2.1

Subtract $5$ from $2$ .

$- 3 - c + 1 = c$

Step 1.2.2

Add $- 3$ and $1$ .

$- c - 2 = c$

Step 2

Move all terms containing $c$ to the left side of the equation.

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Step 2.1

Subtract $c$ from both sides of the equation.

$- c - 2 - c = 0$

Step 2.2

Subtract $c$ from $- c$ .

$- 2 c - 2 = 0$

Step 3

Add $2$ to both sides of the equation.

$- 2 c = 2$

Step 4

Divide each term in $- 2 c = 2$ by $- 2$ and simplify.

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Step 4.1

Divide each term in $- 2 c = 2$ by $- 2$ .

$\frac{- 2 c}{- 2} = \frac{2}{- 2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 2 c}{- 2} = \frac{2}{- 2}$

Step 4.2.1.2

Divide $c$ by $1$ .

$c = \frac{2}{- 2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $2$ by $- 2$ .

$c = - 1$