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Simplifying
5w2 + -180 = 0
Reorder the terms:
-180 + 5w2 = 0
Solving
-180 + 5w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '180' to each side of the equation.
-180 + 180 + 5w2 = 0 + 180
Combine like terms: -180 + 180 = 0
0 + 5w2 = 0 + 180
5w2 = 0 + 180
Combine like terms: 0 + 180 = 180
5w2 = 180
Divide each side by '5'.
w2 = 36
Simplifying
w2 = 36
Take the square root of each side:
w = {-6, 6}
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