Solve for b 2=|b/10|

$2 = | \frac{b}{10} |$

Rewrite the equation as $| \frac{b}{10} | = 2$ .

$| \frac{b}{10} | = 2$

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$\frac{b}{10} = \pm 2$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$\frac{b}{10} = 2$

Multiply both sides of the equation by $10$ .

$10 \frac{b}{10} = 10 \cdot 2$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$10 \frac{b}{10} = 10 \cdot 2$

Rewrite the expression.

$b = 10 \cdot 2$

Simplify the right side.

Multiply $10$ by $2$ .

$b = 20$

Next, use the negative value of the $\pm$ to find the second solution.

$\frac{b}{10} = - 2$

Multiply both sides of the equation by $10$ .

$10 \frac{b}{10} = 10 \cdot - 2$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$10 \frac{b}{10} = 10 \cdot - 2$

Rewrite the expression.

$b = 10 \cdot - 2$

Simplify the right side.

Multiply $10$ by $- 2$ .

$b = - 20$

The complete solution is the result of both the positive and negative portions of the solution.

$b = 20, - 20$