(x+8)2-54=0

Add 54 to both sides of the equation.

(x+8)2=54

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

(x+8)2⋅12=±54

Remove the perfect root factor x+8 under the radical to solve for x.

x+8=±54

Rewrite 54 as 32⋅6.

Factor 9 out of 54.

x+8=±9(6)

Rewrite 9 as 32.

x+8=±32⋅6

x+8=±32⋅6

Pull terms out from under the radical.

x+8=±36

x+8=±36

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

x+8=36

Subtract 8 from both sides of the equation.

x=36-8

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

x+8=-36

Subtract 8 from both sides of the equation.

x=-36-8

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

x=36-8,-36-8

x=36-8,-36-8

The result can be shown in multiple forms.

Exact Form:

x=36-8,-36-8

Decimal Form:

x=-0.65153077…,-15.34846922…

Solve Using the Square Root Property (x+8)^2-54=0