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Simplifying
90 = 3w2 + 18
Reorder the terms:
90 = 18 + 3w2
Solving
90 = 18 + 3w2
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-3w2' to each side of the equation.
90 + -3w2 = 18 + 3w2 + -3w2
Combine like terms: 3w2 + -3w2 = 0
90 + -3w2 = 18 + 0
90 + -3w2 = 18
Add '-90' to each side of the equation.
90 + -90 + -3w2 = 18 + -90
Combine like terms: 90 + -90 = 0
0 + -3w2 = 18 + -90
-3w2 = 18 + -90
Combine like terms: 18 + -90 = -72
-3w2 = -72
Divide each side by '-3'.
w2 = 24
Simplifying
w2 = 24
Take the square root of each side:
w = {-4.898979486, 4.898979486}
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