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Simplifying 49w2 + -112w + 64 = 0 Reorder the terms: 64 + -112w + 49w2 = 0 Solving 64 + -112w + 49w2 = 0 Solving for variable 'w'. Factor a trinomial. (8 + -7w)(8 + -7w) = 0Subproblem 1
Set the factor '(8 + -7w)' equal to zero and attempt to solve: Simplifying 8 + -7w = 0 Solving 8 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7w = 0 + -8 -7w = 0 + -8 Combine like terms: 0 + -8 = -8 -7w = -8 Divide each side by '-7'. w = 1.142857143 Simplifying w = 1.142857143Subproblem 2
Set the factor '(8 + -7w)' equal to zero and attempt to solve: Simplifying 8 + -7w = 0 Solving 8 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7w = 0 + -8 -7w = 0 + -8 Combine like terms: 0 + -8 = -8 -7w = -8 Divide each side by '-7'. w = 1.142857143 Simplifying w = 1.142857143Solution
w = {1.142857143, 1.142857143}
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