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Simplifying
15 = (2w) * w
Remove parenthesis around (2w)
15 = 2w * w
Multiply w * w
15 = 2w2
Solving
15 = 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.
15 + -2w2 = 2w2 + -2w2
Combine like terms: 2w2 + -2w2 = 0
15 + -2w2 = 0
Add '-15' to each side of the equation.
15 + -15 + -2w2 = 0 + -15
Combine like terms: 15 + -15 = 0
0 + -2w2 = 0 + -15
-2w2 = 0 + -15
Combine like terms: 0 + -15 = -15
-2w2 = -15
Divide each side by '-2'.
w2 = 7.5
Simplifying
w2 = 7.5
Take the square root of each side:
w = {-2.738612788, 2.738612788}
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