Question

-2|10w-8|+9=-15 solve the equation??

Answer 1

Hi there,

I hope you and your family are staying safe and healthy!

Let's Solve the Equation

$-2|10w-8|+9=-15$

Let's start by adding -9 to both sides

$-2(|10w-8|)+9+-9=-15+-9\\-2(|10w-8|)=-24$

Now we divide both sides by -2

$\frac{-2(|10w-8|)}{-2} = \frac{-24}{-2} \\|10w-8|=12$

Almost there! SO now we need to solve for the absolute value.

So we know either $10w - 8 = 12$ or $10w - 8 = -12$

Thus, we can say that we have two possibilities here. So we need to solve them both.

Possibility #1

$10w-8=12 \\10w = 12+8\\\\10w = 20 \\w = \frac{20}{10} \\w = 2$

Possibility #2

$10w - 8 = -12 \\10w = -12 + 8\\10w = -4 \\w = \frac{-4}{10} \\w = \frac{-2}{5}$

The answer is: $w = 2$ or $w = \frac{-2}{5}$

I wish you all the best this semester!

~Garebear