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Simplifying
32 = (2w) * w
Remove parenthesis around (2w)
32 = 2w * w
Multiply w * w
32 = 2w2
Solving
32 = 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.
32 + -2w2 = 2w2 + -2w2
Combine like terms: 2w2 + -2w2 = 0
32 + -2w2 = 0
Add '-32' to each side of the equation.
32 + -32 + -2w2 = 0 + -32
Combine like terms: 32 + -32 = 0
0 + -2w2 = 0 + -32
-2w2 = 0 + -32
Combine like terms: 0 + -32 = -32
-2w2 = -32
Divide each side by '-2'.
w2 = 16
Simplifying
w2 = 16
Take the square root of each side:
w = {-4, 4}
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