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Simplifying 3w * w + -7w = 180 Multiply w * w 3w2 + -7w = 180 Reorder the terms: -7w + 3w2 = 180 Solving -7w + 3w2 = 180 Solving for variable 'w'. Reorder the terms: -180 + -7w + 3w2 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + -7w + 3w2 = 0 Factor a trinomial. (-20 + -3w)(9 + -1w) = 0Subproblem 1
Set the factor '(-20 + -3w)' equal to zero and attempt to solve: Simplifying -20 + -3w = 0 Solving -20 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3w = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3w = 0 + 20 -3w = 0 + 20 Combine like terms: 0 + 20 = 20 -3w = 20 Divide each side by '-3'. w = -6.666666667 Simplifying w = -6.666666667Subproblem 2
Set the factor '(9 + -1w)' equal to zero and attempt to solve: Simplifying 9 + -1w = 0 Solving 9 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 0 + -9 -1w = 0 + -9 Combine like terms: 0 + -9 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9Solution
w = {-6.666666667, 9}
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