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Simplifying (8x + -3)(x + 4) = 0 Reorder the terms: (-3 + 8x)(x + 4) = 0 Reorder the terms: (-3 + 8x)(4 + x) = 0 Multiply (-3 + 8x) * (4 + x) (-3(4 + x) + 8x * (4 + x)) = 0 ((4 * -3 + x * -3) + 8x * (4 + x)) = 0 ((-12 + -3x) + 8x * (4 + x)) = 0 (-12 + -3x + (4 * 8x + x * 8x)) = 0 (-12 + -3x + (32x + 8x2)) = 0 Combine like terms: -3x + 32x = 29x (-12 + 29x + 8x2) = 0 Solving -12 + 29x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(3 + -8x) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 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 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Solution
x = {-4, 0.375}
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