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Simplifying 0 = 4x3 + -12x2 + -24x + 32 Reorder the terms: 0 = 32 + -24x + -12x2 + 4x3 Solving 0 = 32 + -24x + -12x2 + 4x3 Solving for variable 'x'. Combine like terms: 0 + -32 = -32 -32 + 24x + 12x2 + -4x3 = 32 + -24x + -12x2 + 4x3 + -32 + 24x + 12x2 + -4x3 Reorder the terms: -32 + 24x + 12x2 + -4x3 = 32 + -32 + -24x + 24x + -12x2 + 12x2 + 4x3 + -4x3 Combine like terms: 32 + -32 = 0 -32 + 24x + 12x2 + -4x3 = 0 + -24x + 24x + -12x2 + 12x2 + 4x3 + -4x3 -32 + 24x + 12x2 + -4x3 = -24x + 24x + -12x2 + 12x2 + 4x3 + -4x3 Combine like terms: -24x + 24x = 0 -32 + 24x + 12x2 + -4x3 = 0 + -12x2 + 12x2 + 4x3 + -4x3 -32 + 24x + 12x2 + -4x3 = -12x2 + 12x2 + 4x3 + -4x3 Combine like terms: -12x2 + 12x2 = 0 -32 + 24x + 12x2 + -4x3 = 0 + 4x3 + -4x3 -32 + 24x + 12x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -32 + 24x + 12x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-8 + 6x + 3x2 + -1x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-8 + 6x + 3x2 + -1x3)' equal to zero and attempt to solve: Simplifying -8 + 6x + 3x2 + -1x3 = 0 Solving -8 + 6x + 3x2 + -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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