Finite Math Examples

$50 = a {(- 3)}^{2} + 5$

Step 1

Rewrite the equation as $a {(- 3)}^{2} + 5 = 50$ .

$a {(- 3)}^{2} + 5 = 50$

Step 2

Simplify each term.

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Step 2.1

Raise $- 3$ to the power of $2$ .

$a \cdot 9 + 5 = 50$

Step 2.2

Move $9$ to the left of $a$ .

$9 a + 5 = 50$

Step 3

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

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Step 3.1

Subtract $5$ from both sides of the equation.

$9 a = 50 - 5$

Step 3.2

Subtract $5$ from $50$ .

$9 a = 45$

Step 4

Divide each term in $9 a = 45$ by $9$ and simplify.

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Step 4.1

Divide each term in $9 a = 45$ by $9$ .

$\frac{9 a}{9} = \frac{45}{9}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $9$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{9 a}{9} = \frac{45}{9}$

Step 4.2.1.2

Divide $a$ by $1$ .

$a = \frac{45}{9}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $45$ by $9$ .

$a = 5$