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Simplifying
12w2 + -147 = 0
Reorder the terms:
-147 + 12w2 = 0
Solving
-147 + 12w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '147' to each side of the equation.
-147 + 147 + 12w2 = 0 + 147
Combine like terms: -147 + 147 = 0
0 + 12w2 = 0 + 147
12w2 = 0 + 147
Combine like terms: 0 + 147 = 147
12w2 = 147
Divide each side by '12'.
w2 = 12.25
Simplifying
w2 = 12.25
Take the square root of each side:
w = {-3.5, 3.5}
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