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Simplifying (2x + 1)(x + 3) = -6x + -12 Reorder the terms: (1 + 2x)(x + 3) = -6x + -12 Reorder the terms: (1 + 2x)(3 + x) = -6x + -12 Multiply (1 + 2x) * (3 + x) (1(3 + x) + 2x * (3 + x)) = -6x + -12 ((3 * 1 + x * 1) + 2x * (3 + x)) = -6x + -12 ((3 + 1x) + 2x * (3 + x)) = -6x + -12 (3 + 1x + (3 * 2x + x * 2x)) = -6x + -12 (3 + 1x + (6x + 2x2)) = -6x + -12 Combine like terms: 1x + 6x = 7x (3 + 7x + 2x2) = -6x + -12 Reorder the terms: 3 + 7x + 2x2 = -12 + -6x Solving 3 + 7x + 2x2 = -12 + -6x Solving for variable 'x'. Reorder the terms: 3 + 12 + 7x + 6x + 2x2 = -12 + -6x + 12 + 6x Combine like terms: 3 + 12 = 15 15 + 7x + 6x + 2x2 = -12 + -6x + 12 + 6x Combine like terms: 7x + 6x = 13x 15 + 13x + 2x2 = -12 + -6x + 12 + 6x Reorder the terms: 15 + 13x + 2x2 = -12 + 12 + -6x + 6x Combine like terms: -12 + 12 = 0 15 + 13x + 2x2 = 0 + -6x + 6x 15 + 13x + 2x2 = -6x + 6x Combine like terms: -6x + 6x = 0 15 + 13x + 2x2 = 0 Factor a trinomial. (5 + x)(3 + 2x) = 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 '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {-5, -1.5}
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