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Simplifying
2w2 + 3 + -90 = 0
Reorder the terms:
3 + -90 + 2w2 = 0
Combine like terms: 3 + -90 = -87
-87 + 2w2 = 0
Solving
-87 + 2w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '87' to each side of the equation.
-87 + 87 + 2w2 = 0 + 87
Combine like terms: -87 + 87 = 0
0 + 2w2 = 0 + 87
2w2 = 0 + 87
Combine like terms: 0 + 87 = 87
2w2 = 87
Divide each side by '2'.
w2 = 43.5
Simplifying
w2 = 43.5
Take the square root of each side:
w = {-6.595452979, 6.595452979}
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