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Simplifying (x2 + -6x + 8)(3x + 24) = 0 Reorder the terms: (8 + -6x + x2)(3x + 24) = 0 Reorder the terms: (8 + -6x + x2)(24 + 3x) = 0 Multiply (8 + -6x + x2) * (24 + 3x) (8(24 + 3x) + -6x * (24 + 3x) + x2(24 + 3x)) = 0 ((24 * 8 + 3x * 8) + -6x * (24 + 3x) + x2(24 + 3x)) = 0 ((192 + 24x) + -6x * (24 + 3x) + x2(24 + 3x)) = 0 (192 + 24x + (24 * -6x + 3x * -6x) + x2(24 + 3x)) = 0 (192 + 24x + (-144x + -18x2) + x2(24 + 3x)) = 0 (192 + 24x + -144x + -18x2 + (24 * x2 + 3x * x2)) = 0 (192 + 24x + -144x + -18x2 + (24x2 + 3x3)) = 0 Combine like terms: 24x + -144x = -120x (192 + -120x + -18x2 + 24x2 + 3x3) = 0 Combine like terms: -18x2 + 24x2 = 6x2 (192 + -120x + 6x2 + 3x3) = 0 Solving 192 + -120x + 6x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(64 + -40x + 2x2 + x3) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(64 + -40x + 2x2 + x3)' equal to zero and attempt to solve: Simplifying 64 + -40x + 2x2 + x3 = 0 Solving 64 + -40x + 2x2 + x3 = 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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