How do you solve sqrt(-8-2a)=0?

1 Answer
Mar 6, 2017

See the entire solution process below:

Explanation:

First, square the expression on each side of the equation:

(sqrt(-8 - 2a))^2 = 0^2

-8 - 2a = 0

Next, add color(red)(8) to each side of the equation to isolate the a term while keeping the equation balanced:

color(red)(8) - 8 - 2a = color(red)(8) + 0

0 - 2a = 8

-2a = 8

Now, divide each side of the equation by color(red)(-2) to solve for a while keeping the equation balanced:

(-2a)/color(red)(-2) = 8/color(red)(-2)

(color(red)(cancel(color(black)(-2)))a)/cancel(color(red)(-2)) = -4

a = -4