(w+4)2-24=0

Add 24 to both sides of the equation.

(w+4)2=24

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

(w+4)2⋅12=±24

Remove the perfect root factor w+4 under the radical to solve for w.

w+4=±24

Rewrite 24 as 22⋅6.

Factor 4 out of 24.

w+4=±4(6)

Rewrite 4 as 22.

w+4=±22⋅6

w+4=±22⋅6

Pull terms out from under the radical.

w+4=±26

w+4=±26

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

w+4=26

Subtract 4 from both sides of the equation.

w=26-4

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

w+4=-26

Subtract 4 from both sides of the equation.

w=-26-4

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

w=26-4,-26-4

w=26-4,-26-4

The result can be shown in multiple forms.

Exact Form:

w=26-4,-26-4

Decimal Form:

w=0.89897948…,-8.89897948…

Solve for w (w+4)^2-24=0