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Simplifying
125 = 5w(w)
Multiply w * w
125 = 5w2
Solving
125 = 5w2
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-5w2' to each side of the equation.
125 + -5w2 = 5w2 + -5w2
Combine like terms: 5w2 + -5w2 = 0
125 + -5w2 = 0
Add '-125' to each side of the equation.
125 + -125 + -5w2 = 0 + -125
Combine like terms: 125 + -125 = 0
0 + -5w2 = 0 + -125
-5w2 = 0 + -125
Combine like terms: 0 + -125 = -125
-5w2 = -125
Divide each side by '-5'.
w2 = 25
Simplifying
w2 = 25
Take the square root of each side:
w = {-5, 5}
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