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Simplifying (3x + -2)(3x + -12)(8 + -2x) = 0 Reorder the terms: (-2 + 3x)(3x + -12)(8 + -2x) = 0 Reorder the terms: (-2 + 3x)(-12 + 3x)(8 + -2x) = 0 Multiply (-2 + 3x) * (-12 + 3x) (-2(-12 + 3x) + 3x * (-12 + 3x))(8 + -2x) = 0 ((-12 * -2 + 3x * -2) + 3x * (-12 + 3x))(8 + -2x) = 0 ((24 + -6x) + 3x * (-12 + 3x))(8 + -2x) = 0 (24 + -6x + (-12 * 3x + 3x * 3x))(8 + -2x) = 0 (24 + -6x + (-36x + 9x2))(8 + -2x) = 0 Combine like terms: -6x + -36x = -42x (24 + -42x + 9x2)(8 + -2x) = 0 Multiply (24 + -42x + 9x2) * (8 + -2x) (24(8 + -2x) + -42x * (8 + -2x) + 9x2 * (8 + -2x)) = 0 ((8 * 24 + -2x * 24) + -42x * (8 + -2x) + 9x2 * (8 + -2x)) = 0 ((192 + -48x) + -42x * (8 + -2x) + 9x2 * (8 + -2x)) = 0 (192 + -48x + (8 * -42x + -2x * -42x) + 9x2 * (8 + -2x)) = 0 (192 + -48x + (-336x + 84x2) + 9x2 * (8 + -2x)) = 0 (192 + -48x + -336x + 84x2 + (8 * 9x2 + -2x * 9x2)) = 0 (192 + -48x + -336x + 84x2 + (72x2 + -18x3)) = 0 Combine like terms: -48x + -336x = -384x (192 + -384x + 84x2 + 72x2 + -18x3) = 0 Combine like terms: 84x2 + 72x2 = 156x2 (192 + -384x + 156x2 + -18x3) = 0 Solving 192 + -384x + 156x2 + -18x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(32 + -64x + 26x2 + -3x3) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(32 + -64x + 26x2 + -3x3)' equal to zero and attempt to solve: Simplifying 32 + -64x + 26x2 + -3x3 = 0 Solving 32 + -64x + 26x2 + -3x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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