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Simplifying
288 = w(2w)
Remove parenthesis around (2w)
288 = w * 2w
Reorder the terms for easier multiplication:
288 = 2w * w
Multiply w * w
288 = 2w2
Solving
288 = 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.
288 + -2w2 = 2w2 + -2w2
Combine like terms: 2w2 + -2w2 = 0
288 + -2w2 = 0
Add '-288' to each side of the equation.
288 + -288 + -2w2 = 0 + -288
Combine like terms: 288 + -288 = 0
0 + -2w2 = 0 + -288
-2w2 = 0 + -288
Combine like terms: 0 + -288 = -288
-2w2 = -288
Divide each side by '-2'.
w2 = 144
Simplifying
w2 = 144
Take the square root of each side:
w = {-12, 12}
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