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Simplifying
2w2 + 9 = 90
Reorder the terms:
9 + 2w2 = 90
Solving
9 + 2w2 = 90
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + 2w2 = 90 + -9
Combine like terms: 9 + -9 = 0
0 + 2w2 = 90 + -9
2w2 = 90 + -9
Combine like terms: 90 + -9 = 81
2w2 = 81
Divide each side by '2'.
w2 = 40.5
Simplifying
w2 = 40.5
Take the square root of each side:
w = {-6.363961031, 6.363961031}
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