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Simplifying 8w2 + -73w + 9 = 0 Reorder the terms: 9 + -73w + 8w2 = 0 Solving 9 + -73w + 8w2 = 0 Solving for variable 'w'. Factor a trinomial. (1 + -8w)(9 + -1w) = 0Subproblem 1
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 = 0.125Subproblem 2
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 = 9Solution
w = {0.125, 9}
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