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Simplifying
2w2 + -96 = 0
Reorder the terms:
-96 + 2w2 = 0
Solving
-96 + 2w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '96' to each side of the equation.
-96 + 96 + 2w2 = 0 + 96
Combine like terms: -96 + 96 = 0
0 + 2w2 = 0 + 96
2w2 = 0 + 96
Combine like terms: 0 + 96 = 96
2w2 = 96
Divide each side by '2'.
w2 = 48
Simplifying
w2 = 48
Take the square root of each side:
w = {-6.92820323, 6.92820323}
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