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Simplifying (6w + -5)(w) = 14 Reorder the terms: (-5 + 6w)(w) = 14 Reorder the terms for easier multiplication: w(-5 + 6w) = 14 (-5 * w + 6w * w) = 14 (-5w + 6w2) = 14 Solving -5w + 6w2 = 14 Solving for variable 'w'. Reorder the terms: -14 + -5w + 6w2 = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + -5w + 6w2 = 0 Factor a trinomial. (-7 + -6w)(2 + -1w) = 0Subproblem 1
Set the factor '(-7 + -6w)' equal to zero and attempt to solve: Simplifying -7 + -6w = 0 Solving -7 + -6w = 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 + -6w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6w = 0 + 7 -6w = 0 + 7 Combine like terms: 0 + 7 = 7 -6w = 7 Divide each side by '-6'. w = -1.166666667 Simplifying w = -1.166666667Subproblem 2
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 = 2Solution
w = {-1.166666667, 2}
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