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Simplifying W2 + -1W = 21 + 3W Reorder the terms: -1W + W2 = 21 + 3W Solving -1W + W2 = 21 + 3W Solving for variable 'W'. Reorder the terms: -21 + -1W + -3W + W2 = 21 + 3W + -21 + -3W Combine like terms: -1W + -3W = -4W -21 + -4W + W2 = 21 + 3W + -21 + -3W Reorder the terms: -21 + -4W + W2 = 21 + -21 + 3W + -3W Combine like terms: 21 + -21 = 0 -21 + -4W + W2 = 0 + 3W + -3W -21 + -4W + W2 = 3W + -3W Combine like terms: 3W + -3W = 0 -21 + -4W + W2 = 0 Factor a trinomial. (-3 + -1W)(7 + -1W) = 0Subproblem 1
Set the factor '(-3 + -1W)' equal to zero and attempt to solve: Simplifying -3 + -1W = 0 Solving -3 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1W = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1W = 0 + 3 -1W = 0 + 3 Combine like terms: 0 + 3 = 3 -1W = 3 Divide each side by '-1'. W = -3 Simplifying W = -3Subproblem 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 = {-3, 7}
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