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Simplifying W(W + 1) = 110 Reorder the terms: W(1 + W) = 110 (1 * W + W * W) = 110 (1W + W2) = 110 Solving 1W + W2 = 110 Solving for variable 'W'. Reorder the terms: -110 + 1W + W2 = 110 + -110 Combine like terms: 110 + -110 = 0 -110 + 1W + W2 = 0 Factor a trinomial. (-11 + -1W)(10 + -1W) = 0Subproblem 1
Set the factor '(-11 + -1W)' equal to zero and attempt to solve: Simplifying -11 + -1W = 0 Solving -11 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1W = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1W = 0 + 11 -1W = 0 + 11 Combine like terms: 0 + 11 = 11 -1W = 11 Divide each side by '-1'. W = -11 Simplifying W = -11Subproblem 2
Set the factor '(10 + -1W)' equal to zero and attempt to solve: Simplifying 10 + -1W = 0 Solving 10 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1W = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1W = 0 + -10 -1W = 0 + -10 Combine like terms: 0 + -10 = -10 -1W = -10 Divide each side by '-1'. W = 10 Simplifying W = 10Solution
W = {-11, 10}
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