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Simplifying w(2w + -5) = 63 Reorder the terms: w(-5 + 2w) = 63 (-5 * w + 2w * w) = 63 (-5w + 2w2) = 63 Solving -5w + 2w2 = 63 Solving for variable 'w'. Reorder the terms: -63 + -5w + 2w2 = 63 + -63 Combine like terms: 63 + -63 = 0 -63 + -5w + 2w2 = 0 Factor a trinomial. (-9 + -2w)(7 + -1w) = 0Subproblem 1
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 = -4.5Subproblem 2
Set the factor '(7 + -1w)' equal to zero and attempt to solve: Simplifying 7 + -1w = 0 Solving 7 + -1w = 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 + -1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 0 + -7 -1w = 0 + -7 Combine like terms: 0 + -7 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7Solution
w = {-4.5, 7}
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