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Simplifying (6x + 13)(x + 5) = 0 Reorder the terms: (13 + 6x)(x + 5) = 0 Reorder the terms: (13 + 6x)(5 + x) = 0 Multiply (13 + 6x) * (5 + x) (13(5 + x) + 6x * (5 + x)) = 0 ((5 * 13 + x * 13) + 6x * (5 + x)) = 0 ((65 + 13x) + 6x * (5 + x)) = 0 (65 + 13x + (5 * 6x + x * 6x)) = 0 (65 + 13x + (30x + 6x2)) = 0 Combine like terms: 13x + 30x = 43x (65 + 43x + 6x2) = 0 Solving 65 + 43x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + x)(13 + 6x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 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 = {-5, -2.166666667}
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