(x+2)2=100

Take the square root of each side of the equation to set up the solution for x

(x+2)2⋅12=±100

Remove the perfect root factor x+2 under the radical to solve for x.

x+2=±100

Rewrite 100 as 102.

x+2=±102

Pull terms out from under the radical, assuming positive real numbers.

x+2=±10

x+2=±10

First, use the positive value of the ± to find the first solution.

x+2=10

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

Subtract 2 from both sides of the equation.

x=10-2

Subtract 2 from 10.

x=8

x=8

Next, use the negative value of the ± to find the second solution.

x+2=-10

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

Subtract 2 from both sides of the equation.

x=-10-2

Subtract 2 from -10.

x=-12

x=-12

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

x=8,-12

x=8,-12

Solve using the Square Root Property (x+2)^2=100