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Simplifying 5w(5w + -16) = -63 Reorder the terms: 5w(-16 + 5w) = -63 (-16 * 5w + 5w * 5w) = -63 (-80w + 25w2) = -63 Solving -80w + 25w2 = -63 Solving for variable 'w'. Reorder the terms: 63 + -80w + 25w2 = -63 + 63 Combine like terms: -63 + 63 = 0 63 + -80w + 25w2 = 0 Factor a trinomial. (7 + -5w)(9 + -5w) = 0Subproblem 1
Set the factor '(7 + -5w)' equal to zero and attempt to solve: Simplifying 7 + -5w = 0 Solving 7 + -5w = 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 + -5w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5w = 0 + -7 -5w = 0 + -7 Combine like terms: 0 + -7 = -7 -5w = -7 Divide each side by '-5'. w = 1.4 Simplifying w = 1.4Subproblem 2
Set the factor '(9 + -5w)' equal to zero and attempt to solve: Simplifying 9 + -5w = 0 Solving 9 + -5w = 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 + -5w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5w = 0 + -9 -5w = 0 + -9 Combine like terms: 0 + -9 = -9 -5w = -9 Divide each side by '-5'. w = 1.8 Simplifying w = 1.8Solution
w = {1.4, 1.8}
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