Finite Math Examples

$s {(S + 9)}^{2} - 17 (S + 9) = 9$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$s {(S + 9)}^{2} - 17 S - 17 \cdot 9 = 9$

Step 1.2

Multiply $- 17$ by $9$ .

$s {(S + 9)}^{2} - 17 S - 153 = 9$

Step 2

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

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Step 2.1

Add $17 S$ to both sides of the equation.

$s {(S + 9)}^{2} - 153 = 9 + 17 S$

Step 2.2

Add $153$ to both sides of the equation.

$s {(S + 9)}^{2} = 9 + 17 S + 153$

Step 2.3

Add $9$ and $153$ .

$s {(S + 9)}^{2} = 17 S + 162$

Step 3

Divide each term in $s {(S + 9)}^{2} = 17 S + 162$ by ${(S + 9)}^{2}$ and simplify.

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Step 3.1

Divide each term in $s {(S + 9)}^{2} = 17 S + 162$ by ${(S + 9)}^{2}$ .

$\frac{s {(S + 9)}^{2}}{{(S + 9)}^{2}} = \frac{17 S}{{(S + 9)}^{2}} + \frac{162}{{(S + 9)}^{2}}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of ${(S + 9)}^{2}$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{s {(S + 9)}^{2}}{{(S + 9)}^{2}} = \frac{17 S}{{(S + 9)}^{2}} + \frac{162}{{(S + 9)}^{2}}$

Step 3.2.1.2

Divide $s$ by $1$ .

$s = \frac{17 S}{{(S + 9)}^{2}} + \frac{162}{{(S + 9)}^{2}}$