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Simplifying 3w2 = 19w + 14 Reorder the terms: 3w2 = 14 + 19w Solving 3w2 = 14 + 19w Solving for variable 'w'. Reorder the terms: -14 + -19w + 3w2 = 14 + 19w + -14 + -19w Reorder the terms: -14 + -19w + 3w2 = 14 + -14 + 19w + -19w Combine like terms: 14 + -14 = 0 -14 + -19w + 3w2 = 0 + 19w + -19w -14 + -19w + 3w2 = 19w + -19w Combine like terms: 19w + -19w = 0 -14 + -19w + 3w2 = 0 Factor a trinomial. (-2 + -3w)(7 + -1w) = 0Subproblem 1
Set the factor '(-2 + -3w)' equal to zero and attempt to solve: Simplifying -2 + -3w = 0 Solving -2 + -3w = 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 + -3w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3w = 0 + 2 -3w = 0 + 2 Combine like terms: 0 + 2 = 2 -3w = 2 Divide each side by '-3'. w = -0.6666666667 Simplifying w = -0.6666666667Subproblem 2
Set the factor '(7 + -1w)' equal to zero and attempt to solve: Simplifying 7 + -1w = 0 Solving 7 + -1w = 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 + -1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 0 + -7 -1w = 0 + -7 Combine like terms: 0 + -7 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7Solution
w = {-0.6666666667, 7}
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