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Simplifying 12w2 + -13w = 35 Reorder the terms: -13w + 12w2 = 35 Solving -13w + 12w2 = 35 Solving for variable 'w'. Reorder the terms: -35 + -13w + 12w2 = 35 + -35 Combine like terms: 35 + -35 = 0 -35 + -13w + 12w2 = 0 Factor a trinomial. (-5 + -4w)(7 + -3w) = 0Subproblem 1
Set the factor '(-5 + -4w)' equal to zero and attempt to solve: Simplifying -5 + -4w = 0 Solving -5 + -4w = 0 Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4w = 0 + 5 -4w = 0 + 5 Combine like terms: 0 + 5 = 5 -4w = 5 Divide each side by '-4'. w = -1.25 Simplifying w = -1.25Subproblem 2
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 = 2.333333333Solution
w = {-1.25, 2.333333333}
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