Precalculus Examples

$160 = a {(11 - 10)}^{2} + 175$

Step 1

Rewrite the equation as $a {(11 - 10)}^{2} + 175 = 160$ .

$a {(11 - 10)}^{2} + 175 = 160$

Step 2

Simplify each term.

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Step 2.1

Subtract $10$ from $11$ .

$a \cdot 1^{2} + 175 = 160$

Step 2.2

One to any power is one.

$a \cdot 1 + 175 = 160$

Step 2.3

Multiply $a$ by $1$ .

$a + 175 = 160$

Step 3

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

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Step 3.1

Subtract $175$ from both sides of the equation.

$a = 160 - 175$

Step 3.2

Subtract $175$ from $160$ .

$a = - 15$