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Simplifying 0 = 4x3 + 6x2 + -24x + 14 Reorder the terms: 0 = 14 + -24x + 6x2 + 4x3 Solving 0 = 14 + -24x + 6x2 + 4x3 Solving for variable 'x'. Combine like terms: 0 + -14 = -14 -14 + 24x + -6x2 + -4x3 = 14 + -24x + 6x2 + 4x3 + -14 + 24x + -6x2 + -4x3 Reorder the terms: -14 + 24x + -6x2 + -4x3 = 14 + -14 + -24x + 24x + 6x2 + -6x2 + 4x3 + -4x3 Combine like terms: 14 + -14 = 0 -14 + 24x + -6x2 + -4x3 = 0 + -24x + 24x + 6x2 + -6x2 + 4x3 + -4x3 -14 + 24x + -6x2 + -4x3 = -24x + 24x + 6x2 + -6x2 + 4x3 + -4x3 Combine like terms: -24x + 24x = 0 -14 + 24x + -6x2 + -4x3 = 0 + 6x2 + -6x2 + 4x3 + -4x3 -14 + 24x + -6x2 + -4x3 = 6x2 + -6x2 + 4x3 + -4x3 Combine like terms: 6x2 + -6x2 = 0 -14 + 24x + -6x2 + -4x3 = 0 + 4x3 + -4x3 -14 + 24x + -6x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -14 + 24x + -6x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + 12x + -3x2 + -2x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + 12x + -3x2 + -2x3)' equal to zero and attempt to solve: Simplifying -7 + 12x + -3x2 + -2x3 = 0 Solving -7 + 12x + -3x2 + -2x3 = 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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