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Simplifying (W + -4)(W + -4) = 0 Reorder the terms: (-4 + W)(W + -4) = 0 Reorder the terms: (-4 + W)(-4 + W) = 0 Multiply (-4 + W) * (-4 + W) (-4(-4 + W) + W(-4 + W)) = 0 ((-4 * -4 + W * -4) + W(-4 + W)) = 0 ((16 + -4W) + W(-4 + W)) = 0 (16 + -4W + (-4 * W + W * W)) = 0 (16 + -4W + (-4W + W2)) = 0 Combine like terms: -4W + -4W = -8W (16 + -8W + W2) = 0 Solving 16 + -8W + W2 = 0 Solving for variable 'W'. Factor a trinomial. (4 + -1W)(4 + -1W) = 0Subproblem 1
Set the factor '(4 + -1W)' equal to zero and attempt to solve: Simplifying 4 + -1W = 0 Solving 4 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1W = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1W = 0 + -4 -1W = 0 + -4 Combine like terms: 0 + -4 = -4 -1W = -4 Divide each side by '-1'. W = 4 Simplifying W = 4Subproblem 2
Set the factor '(4 + -1W)' equal to zero and attempt to solve: Simplifying 4 + -1W = 0 Solving 4 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1W = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1W = 0 + -4 -1W = 0 + -4 Combine like terms: 0 + -4 = -4 -1W = -4 Divide each side by '-1'. W = 4 Simplifying W = 4Solution
W = {4, 4}
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