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Simplifying (x + 1)(x + 12) = 6x Reorder the terms: (1 + x)(x + 12) = 6x Reorder the terms: (1 + x)(12 + x) = 6x Multiply (1 + x) * (12 + x) (1(12 + x) + x(12 + x)) = 6x ((12 * 1 + x * 1) + x(12 + x)) = 6x ((12 + 1x) + x(12 + x)) = 6x (12 + 1x + (12 * x + x * x)) = 6x (12 + 1x + (12x + x2)) = 6x Combine like terms: 1x + 12x = 13x (12 + 13x + x2) = 6x Solving 12 + 13x + x2 = 6x Solving for variable 'x'. Reorder the terms: 12 + 13x + -6x + x2 = 6x + -6x Combine like terms: 13x + -6x = 7x 12 + 7x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 12 + 7x + x2 = 0 Factor a trinomial. (4 + x)(3 + x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-4, -3}
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