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Simplifying
6w2 + -486 = 0
Reorder the terms:
-486 + 6w2 = 0
Solving
-486 + 6w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '486' to each side of the equation.
-486 + 486 + 6w2 = 0 + 486
Combine like terms: -486 + 486 = 0
0 + 6w2 = 0 + 486
6w2 = 0 + 486
Combine like terms: 0 + 486 = 486
6w2 = 486
Divide each side by '6'.
w2 = 81
Simplifying
w2 = 81
Take the square root of each side:
w = {-9, 9}
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