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Simplifying (x + 8)(x + -3) = 3x Reorder the terms: (8 + x)(x + -3) = 3x Reorder the terms: (8 + x)(-3 + x) = 3x Multiply (8 + x) * (-3 + x) (8(-3 + x) + x(-3 + x)) = 3x ((-3 * 8 + x * 8) + x(-3 + x)) = 3x ((-24 + 8x) + x(-3 + x)) = 3x (-24 + 8x + (-3 * x + x * x)) = 3x (-24 + 8x + (-3x + x2)) = 3x Combine like terms: 8x + -3x = 5x (-24 + 5x + x2) = 3x Solving -24 + 5x + x2 = 3x Solving for variable 'x'. Reorder the terms: -24 + 5x + -3x + x2 = 3x + -3x Combine like terms: 5x + -3x = 2x -24 + 2x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 2x + x2 = 0 Factor a trinomial. (-6 + -1x)(4 + -1x) = 0Subproblem 1
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 = -6Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-6, 4}
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