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Simplifying (x + 1)(x + 3) = -9(x + -1) + 8 Reorder the terms: (1 + x)(x + 3) = -9(x + -1) + 8 Reorder the terms: (1 + x)(3 + x) = -9(x + -1) + 8 Multiply (1 + x) * (3 + x) (1(3 + x) + x(3 + x)) = -9(x + -1) + 8 ((3 * 1 + x * 1) + x(3 + x)) = -9(x + -1) + 8 ((3 + 1x) + x(3 + x)) = -9(x + -1) + 8 (3 + 1x + (3 * x + x * x)) = -9(x + -1) + 8 (3 + 1x + (3x + x2)) = -9(x + -1) + 8 Combine like terms: 1x + 3x = 4x (3 + 4x + x2) = -9(x + -1) + 8 Reorder the terms: 3 + 4x + x2 = -9(-1 + x) + 8 3 + 4x + x2 = (-1 * -9 + x * -9) + 8 3 + 4x + x2 = (9 + -9x) + 8 Reorder the terms: 3 + 4x + x2 = 9 + 8 + -9x Combine like terms: 9 + 8 = 17 3 + 4x + x2 = 17 + -9x Solving 3 + 4x + x2 = 17 + -9x Solving for variable 'x'. Reorder the terms: 3 + -17 + 4x + 9x + x2 = 17 + -9x + -17 + 9x Combine like terms: 3 + -17 = -14 -14 + 4x + 9x + x2 = 17 + -9x + -17 + 9x Combine like terms: 4x + 9x = 13x -14 + 13x + x2 = 17 + -9x + -17 + 9x Reorder the terms: -14 + 13x + x2 = 17 + -17 + -9x + 9x Combine like terms: 17 + -17 = 0 -14 + 13x + x2 = 0 + -9x + 9x -14 + 13x + x2 = -9x + 9x Combine like terms: -9x + 9x = 0 -14 + 13x + x2 = 0 Factor a trinomial. (-14 + -1x)(1 + -1x) = 0Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve: Simplifying -14 + -1x = 0 Solving -14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-14, 1}
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