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Simplifying (6x + 13)(x + 12) = 0 Reorder the terms: (13 + 6x)(x + 12) = 0 Reorder the terms: (13 + 6x)(12 + x) = 0 Multiply (13 + 6x) * (12 + x) (13(12 + x) + 6x * (12 + x)) = 0 ((12 * 13 + x * 13) + 6x * (12 + x)) = 0 ((156 + 13x) + 6x * (12 + x)) = 0 (156 + 13x + (12 * 6x + x * 6x)) = 0 (156 + 13x + (72x + 6x2)) = 0 Combine like terms: 13x + 72x = 85x (156 + 85x + 6x2) = 0 Solving 156 + 85x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (12 + x)(13 + 6x) = 0Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Subproblem 2
Set the factor '(13 + 6x)' equal to zero and attempt to solve: Simplifying 13 + 6x = 0 Solving 13 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 6x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 0 + -13 6x = 0 + -13 Combine like terms: 0 + -13 = -13 6x = -13 Divide each side by '6'. x = -2.166666667 Simplifying x = -2.166666667Solution
x = {-12, -2.166666667}
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