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Simplifying
6w2 + -54 = 0
Reorder the terms:
-54 + 6w2 = 0
Solving
-54 + 6w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '54' to each side of the equation.
-54 + 54 + 6w2 = 0 + 54
Combine like terms: -54 + 54 = 0
0 + 6w2 = 0 + 54
6w2 = 0 + 54
Combine like terms: 0 + 54 = 54
6w2 = 54
Divide each side by '6'.
w2 = 9
Simplifying
w2 = 9
Take the square root of each side:
w = {-3, 3}
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