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Simplifying
5w2 + -90 = 0
Reorder the terms:
-90 + 5w2 = 0
Solving
-90 + 5w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '90' to each side of the equation.
-90 + 90 + 5w2 = 0 + 90
Combine like terms: -90 + 90 = 0
0 + 5w2 = 0 + 90
5w2 = 0 + 90
Combine like terms: 0 + 90 = 90
5w2 = 90
Divide each side by '5'.
w2 = 18
Simplifying
w2 = 18
Take the square root of each side:
w = {-4.242640687, 4.242640687}
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