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Simplifying (x + -9)(x + 1) = -6x + 6 Reorder the terms: (-9 + x)(x + 1) = -6x + 6 Reorder the terms: (-9 + x)(1 + x) = -6x + 6 Multiply (-9 + x) * (1 + x) (-9(1 + x) + x(1 + x)) = -6x + 6 ((1 * -9 + x * -9) + x(1 + x)) = -6x + 6 ((-9 + -9x) + x(1 + x)) = -6x + 6 (-9 + -9x + (1 * x + x * x)) = -6x + 6 (-9 + -9x + (1x + x2)) = -6x + 6 Combine like terms: -9x + 1x = -8x (-9 + -8x + x2) = -6x + 6 Reorder the terms: -9 + -8x + x2 = 6 + -6x Solving -9 + -8x + x2 = 6 + -6x Solving for variable 'x'. Reorder the terms: -9 + -6 + -8x + 6x + x2 = 6 + -6x + -6 + 6x Combine like terms: -9 + -6 = -15 -15 + -8x + 6x + x2 = 6 + -6x + -6 + 6x Combine like terms: -8x + 6x = -2x -15 + -2x + x2 = 6 + -6x + -6 + 6x Reorder the terms: -15 + -2x + x2 = 6 + -6 + -6x + 6x Combine like terms: 6 + -6 = 0 -15 + -2x + x2 = 0 + -6x + 6x -15 + -2x + x2 = -6x + 6x Combine like terms: -6x + 6x = 0 -15 + -2x + x2 = 0 Factor a trinomial. (-3 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-3, 5}
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