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Simplifying 8w2 + 71w + -9 = 0 Reorder the terms: -9 + 71w + 8w2 = 0 Solving -9 + 71w + 8w2 = 0 Solving for variable 'w'. Factor a trinomial. (-9 + -1w)(1 + -8w) = 0Subproblem 1
Set the factor '(-9 + -1w)' equal to zero and attempt to solve: Simplifying -9 + -1w = 0 Solving -9 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1w = 0 + 9 -1w = 0 + 9 Combine like terms: 0 + 9 = 9 -1w = 9 Divide each side by '-1'. w = -9 Simplifying w = -9Subproblem 2
Set the factor '(1 + -8w)' equal to zero and attempt to solve: Simplifying 1 + -8w = 0 Solving 1 + -8w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8w = 0 + -1 -8w = 0 + -1 Combine like terms: 0 + -1 = -1 -8w = -1 Divide each side by '-8'. w = 0.125 Simplifying w = 0.125Solution
w = {-9, 0.125}
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