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Simplifying -63w2 + -17w + 20 = 0 Reorder the terms: 20 + -17w + -63w2 = 0 Solving 20 + -17w + -63w2 = 0 Solving for variable 'w'. Factor a trinomial. (4 + -9w)(5 + 7w) = 0Subproblem 1
Set the factor '(4 + -9w)' equal to zero and attempt to solve: Simplifying 4 + -9w = 0 Solving 4 + -9w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9w = 0 + -4 -9w = 0 + -4 Combine like terms: 0 + -4 = -4 -9w = -4 Divide each side by '-9'. w = 0.4444444444 Simplifying w = 0.4444444444Subproblem 2
Set the factor '(5 + 7w)' equal to zero and attempt to solve: Simplifying 5 + 7w = 0 Solving 5 + 7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7w = 0 + -5 7w = 0 + -5 Combine like terms: 0 + -5 = -5 7w = -5 Divide each side by '7'. w = -0.7142857143 Simplifying w = -0.7142857143Solution
w = {0.4444444444, -0.7142857143}
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