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Simplifying (2 + x)(6 + -3x)(8x + -8) = 0 Reorder the terms: (2 + x)(6 + -3x)(-8 + 8x) = 0 Multiply (2 + x) * (6 + -3x) (2(6 + -3x) + x(6 + -3x))(-8 + 8x) = 0 ((6 * 2 + -3x * 2) + x(6 + -3x))(-8 + 8x) = 0 ((12 + -6x) + x(6 + -3x))(-8 + 8x) = 0 (12 + -6x + (6 * x + -3x * x))(-8 + 8x) = 0 (12 + -6x + (6x + -3x2))(-8 + 8x) = 0 Combine like terms: -6x + 6x = 0 (12 + 0 + -3x2)(-8 + 8x) = 0 (12 + -3x2)(-8 + 8x) = 0 Multiply (12 + -3x2) * (-8 + 8x) (12(-8 + 8x) + -3x2 * (-8 + 8x)) = 0 ((-8 * 12 + 8x * 12) + -3x2 * (-8 + 8x)) = 0 ((-96 + 96x) + -3x2 * (-8 + 8x)) = 0 (-96 + 96x + (-8 * -3x2 + 8x * -3x2)) = 0 (-96 + 96x + (24x2 + -24x3)) = 0 (-96 + 96x + 24x2 + -24x3) = 0 Solving -96 + 96x + 24x2 + -24x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '24'. 24(-4 + 4x + x2 + -1x3) = 0 Ignore the factor 24.Subproblem 1
Set the factor '(-4 + 4x + x2 + -1x3)' equal to zero and attempt to solve: Simplifying -4 + 4x + x2 + -1x3 = 0 Solving -4 + 4x + x2 + -1x3 = 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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