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Simplifying
6w2 + -216 = 0
Reorder the terms:
-216 + 6w2 = 0
Solving
-216 + 6w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '216' to each side of the equation.
-216 + 216 + 6w2 = 0 + 216
Combine like terms: -216 + 216 = 0
0 + 6w2 = 0 + 216
6w2 = 0 + 216
Combine like terms: 0 + 216 = 216
6w2 = 216
Divide each side by '6'.
w2 = 36
Simplifying
w2 = 36
Take the square root of each side:
w = {-6, 6}
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