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Simplifying 70 = (3w + -11) * w Reorder the terms: 70 = (-11 + 3w) * w Reorder the terms for easier multiplication: 70 = w(-11 + 3w) 70 = (-11 * w + 3w * w) 70 = (-11w + 3w2) Solving 70 = -11w + 3w2 Solving for variable 'w'. Reorder the terms: 70 + 11w + -3w2 = -11w + 11w + 3w2 + -3w2 Combine like terms: -11w + 11w = 0 70 + 11w + -3w2 = 0 + 3w2 + -3w2 70 + 11w + -3w2 = 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 70 + 11w + -3w2 = 0 Factor a trinomial. (7 + -1w)(10 + 3w) = 0Subproblem 1
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 = 7Subproblem 2
Set the factor '(10 + 3w)' equal to zero and attempt to solve: Simplifying 10 + 3w = 0 Solving 10 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3w = 0 + -10 3w = 0 + -10 Combine like terms: 0 + -10 = -10 3w = -10 Divide each side by '3'. w = -3.333333333 Simplifying w = -3.333333333Solution
w = {7, -3.333333333}
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