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Simplifying 28 = (8 + 3W) * W Reorder the terms for easier multiplication: 28 = W(8 + 3W) 28 = (8 * W + 3W * W) 28 = (8W + 3W2) Solving 28 = 8W + 3W2 Solving for variable 'W'. Reorder the terms: 28 + -8W + -3W2 = 8W + -8W + 3W2 + -3W2 Combine like terms: 8W + -8W = 0 28 + -8W + -3W2 = 0 + 3W2 + -3W2 28 + -8W + -3W2 = 3W2 + -3W2 Combine like terms: 3W2 + -3W2 = 0 28 + -8W + -3W2 = 0 Factor a trinomial. (2 + -1W)(14 + 3W) = 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 '(14 + 3W)' equal to zero and attempt to solve: Simplifying 14 + 3W = 0 Solving 14 + 3W = 0 Move all terms containing W to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3W = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3W = 0 + -14 3W = 0 + -14 Combine like terms: 0 + -14 = -14 3W = -14 Divide each side by '3'. W = -4.666666667 Simplifying W = -4.666666667Solution
W = {2, -4.666666667}
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