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Simplifying 16w2 + -86w + 63 = 0 Reorder the terms: 63 + -86w + 16w2 = 0 Solving 63 + -86w + 16w2 = 0 Solving for variable 'w'. Factor a trinomial. (7 + -8w)(9 + -2w) = 0Subproblem 1
Set the factor '(7 + -8w)' equal to zero and attempt to solve: Simplifying 7 + -8w = 0 Solving 7 + -8w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8w = 0 + -7 -8w = 0 + -7 Combine like terms: 0 + -7 = -7 -8w = -7 Divide each side by '-8'. w = 0.875 Simplifying w = 0.875Subproblem 2
Set the factor '(9 + -2w)' equal to zero and attempt to solve: Simplifying 9 + -2w = 0 Solving 9 + -2w = 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 + -2w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2w = 0 + -9 -2w = 0 + -9 Combine like terms: 0 + -9 = -9 -2w = -9 Divide each side by '-2'. w = 4.5 Simplifying w = 4.5Solution
w = {0.875, 4.5}
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