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Simplifying (6w + 13)(w + 12) = 0 Reorder the terms: (13 + 6w)(w + 12) = 0 Reorder the terms: (13 + 6w)(12 + w) = 0 Multiply (13 + 6w) * (12 + w) (13(12 + w) + 6w * (12 + w)) = 0 ((12 * 13 + w * 13) + 6w * (12 + w)) = 0 ((156 + 13w) + 6w * (12 + w)) = 0 (156 + 13w + (12 * 6w + w * 6w)) = 0 (156 + 13w + (72w + 6w2)) = 0 Combine like terms: 13w + 72w = 85w (156 + 85w + 6w2) = 0 Solving 156 + 85w + 6w2 = 0 Solving for variable 'w'. Factor a trinomial. (12 + w)(13 + 6w) = 0Subproblem 1
Set the factor '(12 + w)' equal to zero and attempt to solve: Simplifying 12 + w = 0 Solving 12 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + w = 0 + -12 w = 0 + -12 Combine like terms: 0 + -12 = -12 w = -12 Simplifying w = -12Subproblem 2
Set the factor '(13 + 6w)' equal to zero and attempt to solve: Simplifying 13 + 6w = 0 Solving 13 + 6w = 0 Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 6w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6w = 0 + -13 6w = 0 + -13 Combine like terms: 0 + -13 = -13 6w = -13 Divide each side by '6'. w = -2.166666667 Simplifying w = -2.166666667Solution
w = {-12, -2.166666667}
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