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Simplifying 66 = (3w + -7) * w Reorder the terms: 66 = (-7 + 3w) * w Reorder the terms for easier multiplication: 66 = w(-7 + 3w) 66 = (-7 * w + 3w * w) 66 = (-7w + 3w2) Solving 66 = -7w + 3w2 Solving for variable 'w'. Reorder the terms: 66 + 7w + -3w2 = -7w + 7w + 3w2 + -3w2 Combine like terms: -7w + 7w = 0 66 + 7w + -3w2 = 0 + 3w2 + -3w2 66 + 7w + -3w2 = 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 66 + 7w + -3w2 = 0 Factor a trinomial. (6 + -1w)(11 + 3w) = 0Subproblem 1
Set the factor '(6 + -1w)' equal to zero and attempt to solve: Simplifying 6 + -1w = 0 Solving 6 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 0 + -6 -1w = 0 + -6 Combine like terms: 0 + -6 = -6 -1w = -6 Divide each side by '-1'. w = 6 Simplifying w = 6Subproblem 2
Set the factor '(11 + 3w)' equal to zero and attempt to solve: Simplifying 11 + 3w = 0 Solving 11 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3w = 0 + -11 3w = 0 + -11 Combine like terms: 0 + -11 = -11 3w = -11 Divide each side by '3'. w = -3.666666667 Simplifying w = -3.666666667Solution
w = {6, -3.666666667}
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