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Simplifying -5W2 + 3W + 14 = 0 Reorder the terms: 14 + 3W + -5W2 = 0 Solving 14 + 3W + -5W2 = 0 Solving for variable 'W'. Factor a trinomial. (2 + -1W)(7 + 5W) = 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 '(7 + 5W)' equal to zero and attempt to solve: Simplifying 7 + 5W = 0 Solving 7 + 5W = 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 + 5W = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5W = 0 + -7 5W = 0 + -7 Combine like terms: 0 + -7 = -7 5W = -7 Divide each side by '5'. W = -1.4 Simplifying W = -1.4Solution
W = {2, -1.4}
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