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Simplifying (2x + -3)(x + 8) = 0 Reorder the terms: (-3 + 2x)(x + 8) = 0 Reorder the terms: (-3 + 2x)(8 + x) = 0 Multiply (-3 + 2x) * (8 + x) (-3(8 + x) + 2x * (8 + x)) = 0 ((8 * -3 + x * -3) + 2x * (8 + x)) = 0 ((-24 + -3x) + 2x * (8 + x)) = 0 (-24 + -3x + (8 * 2x + x * 2x)) = 0 (-24 + -3x + (16x + 2x2)) = 0 Combine like terms: -3x + 16x = 13x (-24 + 13x + 2x2) = 0 Solving -24 + 13x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -1x)(3 + -2x) = 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 '(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 = {-8, 1.5}
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