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Simplifying
8w2 + -18 + 9 = 0
Reorder the terms:
-18 + 9 + 8w2 = 0
Combine like terms: -18 + 9 = -9
-9 + 8w2 = 0
Solving
-9 + 8w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 8w2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 8w2 = 0 + 9
8w2 = 0 + 9
Combine like terms: 0 + 9 = 9
8w2 = 9
Divide each side by '8'.
w2 = 1.125
Simplifying
w2 = 1.125
Take the square root of each side:
w = {-1.060660172, 1.060660172}
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