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Simplifying
128 = (2w) * w
Remove parenthesis around (2w)
128 = 2w * w
Multiply w * w
128 = 2w2
Solving
128 = 2w2
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-2w2' to each side of the equation.
128 + -2w2 = 2w2 + -2w2
Combine like terms: 2w2 + -2w2 = 0
128 + -2w2 = 0
Add '-128' to each side of the equation.
128 + -128 + -2w2 = 0 + -128
Combine like terms: 128 + -128 = 0
0 + -2w2 = 0 + -128
-2w2 = 0 + -128
Combine like terms: 0 + -128 = -128
-2w2 = -128
Divide each side by '-2'.
w2 = 64
Simplifying
w2 = 64
Take the square root of each side:
w = {-8, 8}
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