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Simplifying 12w2 + 43w + 35 = 0 Reorder the terms: 35 + 43w + 12w2 = 0 Solving 35 + 43w + 12w2 = 0 Solving for variable 'w'. Factor a trinomial. (7 + 3w)(5 + 4w) = 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 '(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 = -1.25Solution
w = {-2.333333333, -1.25}
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