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Simplifying (x + -3)(x + 8) = 3(x + 8) Reorder the terms: (-3 + x)(x + 8) = 3(x + 8) Reorder the terms: (-3 + x)(8 + x) = 3(x + 8) Multiply (-3 + x) * (8 + x) (-3(8 + x) + x(8 + x)) = 3(x + 8) ((8 * -3 + x * -3) + x(8 + x)) = 3(x + 8) ((-24 + -3x) + x(8 + x)) = 3(x + 8) (-24 + -3x + (8 * x + x * x)) = 3(x + 8) (-24 + -3x + (8x + x2)) = 3(x + 8) Combine like terms: -3x + 8x = 5x (-24 + 5x + x2) = 3(x + 8) Reorder the terms: -24 + 5x + x2 = 3(8 + x) -24 + 5x + x2 = (8 * 3 + x * 3) -24 + 5x + x2 = (24 + 3x) Solving -24 + 5x + x2 = 24 + 3x Solving for variable 'x'. Reorder the terms: -24 + -24 + 5x + -3x + x2 = 24 + 3x + -24 + -3x Combine like terms: -24 + -24 = -48 -48 + 5x + -3x + x2 = 24 + 3x + -24 + -3x Combine like terms: 5x + -3x = 2x -48 + 2x + x2 = 24 + 3x + -24 + -3x Reorder the terms: -48 + 2x + x2 = 24 + -24 + 3x + -3x Combine like terms: 24 + -24 = 0 -48 + 2x + x2 = 0 + 3x + -3x -48 + 2x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -48 + 2x + x2 = 0 Factor a trinomial. (-8 + -1x)(6 + -1x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-8, 6}
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