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Simplifying (-2x + -4)(8x + 3) = 0 Reorder the terms: (-4 + -2x)(8x + 3) = 0 Reorder the terms: (-4 + -2x)(3 + 8x) = 0 Multiply (-4 + -2x) * (3 + 8x) (-4(3 + 8x) + -2x * (3 + 8x)) = 0 ((3 * -4 + 8x * -4) + -2x * (3 + 8x)) = 0 ((-12 + -32x) + -2x * (3 + 8x)) = 0 (-12 + -32x + (3 * -2x + 8x * -2x)) = 0 (-12 + -32x + (-6x + -16x2)) = 0 Combine like terms: -32x + -6x = -38x (-12 + -38x + -16x2) = 0 Solving -12 + -38x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2'. -2(6 + 19x + 8x2) = 0 Factor a trinomial. -2((2 + x)(3 + 8x)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 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 = {-2, -0.375}
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