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Simplifying 2W2 + 8W + -42 + -1W2 + -7W + -198 = 0 Reorder the terms: -42 + -198 + 8W + -7W + 2W2 + -1W2 = 0 Combine like terms: -42 + -198 = -240 -240 + 8W + -7W + 2W2 + -1W2 = 0 Combine like terms: 8W + -7W = 1W -240 + 1W + 2W2 + -1W2 = 0 Combine like terms: 2W2 + -1W2 = 1W2 -240 + 1W + 1W2 = 0 Solving -240 + 1W + 1W2 = 0 Solving for variable 'W'. Factor a trinomial. (-16 + -1W)(15 + -1W) = 0Subproblem 1
Set the factor '(-16 + -1W)' equal to zero and attempt to solve: Simplifying -16 + -1W = 0 Solving -16 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1W = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1W = 0 + 16 -1W = 0 + 16 Combine like terms: 0 + 16 = 16 -1W = 16 Divide each side by '-1'. W = -16 Simplifying W = -16Subproblem 2
Set the factor '(15 + -1W)' equal to zero and attempt to solve: Simplifying 15 + -1W = 0 Solving 15 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1W = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1W = 0 + -15 -1W = 0 + -15 Combine like terms: 0 + -15 = -15 -1W = -15 Divide each side by '-1'. W = 15 Simplifying W = 15Solution
W = {-16, 15}
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