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

(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
Simplify the right side of the equation.
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
The complete solution is the result of both the positive and negative portions of the solution.
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

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