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Simplifying
36w2 + -12 = 0
Reorder the terms:
-12 + 36w2 = 0
Solving
-12 + 36w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 36w2 = 0 + 12
Combine like terms: -12 + 12 = 0
0 + 36w2 = 0 + 12
36w2 = 0 + 12
Combine like terms: 0 + 12 = 12
36w2 = 12
Divide each side by '36'.
w2 = 0.3333333333
Simplifying
w2 = 0.3333333333
Take the square root of each side:
w = {-0.577350269, 0.577350269}
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