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Simplifying W(11 + 2W) = 63 (11 * W + 2W * W) = 63 (11W + 2W2) = 63 Solving 11W + 2W2 = 63 Solving for variable 'W'. Reorder the terms: -63 + 11W + 2W2 = 63 + -63 Combine like terms: 63 + -63 = 0 -63 + 11W + 2W2 = 0 Factor a trinomial. (-9 + -1W)(7 + -2W) = 0Subproblem 1
Set the factor '(-9 + -1W)' equal to zero and attempt to solve: Simplifying -9 + -1W = 0 Solving -9 + -1W = 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 + -1W = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1W = 0 + 9 -1W = 0 + 9 Combine like terms: 0 + 9 = 9 -1W = 9 Divide each side by '-1'. W = -9 Simplifying W = -9Subproblem 2
Set the factor '(7 + -2W)' equal to zero and attempt to solve: Simplifying 7 + -2W = 0 Solving 7 + -2W = 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 + -2W = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2W = 0 + -7 -2W = 0 + -7 Combine like terms: 0 + -7 = -7 -2W = -7 Divide each side by '-2'. W = 3.5 Simplifying W = 3.5Solution
W = {-9, 3.5}
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