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Simplifying W * W + 3W = 4W + 6 Multiply W * W W2 + 3W = 4W + 6 Reorder the terms: 3W + W2 = 4W + 6 Reorder the terms: 3W + W2 = 6 + 4W Solving 3W + W2 = 6 + 4W Solving for variable 'W'. Reorder the terms: -6 + 3W + -4W + W2 = 6 + 4W + -6 + -4W Combine like terms: 3W + -4W = -1W -6 + -1W + W2 = 6 + 4W + -6 + -4W Reorder the terms: -6 + -1W + W2 = 6 + -6 + 4W + -4W Combine like terms: 6 + -6 = 0 -6 + -1W + W2 = 0 + 4W + -4W -6 + -1W + W2 = 4W + -4W Combine like terms: 4W + -4W = 0 -6 + -1W + W2 = 0 Factor a trinomial. (-2 + -1W)(3 + -1W) = 0Subproblem 1
Set the factor '(-2 + -1W)' equal to zero and attempt to solve: Simplifying -2 + -1W = 0 Solving -2 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1W = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1W = 0 + 2 -1W = 0 + 2 Combine like terms: 0 + 2 = 2 -1W = 2 Divide each side by '-1'. W = -2 Simplifying W = -2Subproblem 2
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 = 3Solution
W = {-2, 3}
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