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Simplifying 14 = w(5w + -3) Reorder the terms: 14 = w(-3 + 5w) 14 = (-3 * w + 5w * w) 14 = (-3w + 5w2) Solving 14 = -3w + 5w2 Solving for variable 'w'. Reorder the terms: 14 + 3w + -5w2 = -3w + 3w + 5w2 + -5w2 Combine like terms: -3w + 3w = 0 14 + 3w + -5w2 = 0 + 5w2 + -5w2 14 + 3w + -5w2 = 5w2 + -5w2 Combine like terms: 5w2 + -5w2 = 0 14 + 3w + -5w2 = 0 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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