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Simplifying (3w + -11) * w = 42 Reorder the terms: (-11 + 3w) * w = 42 Reorder the terms for easier multiplication: w(-11 + 3w) = 42 (-11 * w + 3w * w) = 42 (-11w + 3w2) = 42 Solving -11w + 3w2 = 42 Solving for variable 'w'. Reorder the terms: -42 + -11w + 3w2 = 42 + -42 Combine like terms: 42 + -42 = 0 -42 + -11w + 3w2 = 0 Factor a trinomial. (-7 + -3w)(6 + -1w) = 0Subproblem 1
Set the factor '(-7 + -3w)' equal to zero and attempt to solve: Simplifying -7 + -3w = 0 Solving -7 + -3w = 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 + -3w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3w = 0 + 7 -3w = 0 + 7 Combine like terms: 0 + 7 = 7 -3w = 7 Divide each side by '-3'. w = -2.333333333 Simplifying w = -2.333333333Subproblem 2
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 = 6Solution
w = {-2.333333333, 6}
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