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Simplifying (18 + -3x)(-2 + -1x)(4x + 24) = 0 Reorder the terms: (18 + -3x)(-2 + -1x)(24 + 4x) = 0 Multiply (18 + -3x) * (-2 + -1x) (18(-2 + -1x) + -3x * (-2 + -1x))(24 + 4x) = 0 ((-2 * 18 + -1x * 18) + -3x * (-2 + -1x))(24 + 4x) = 0 ((-36 + -18x) + -3x * (-2 + -1x))(24 + 4x) = 0 (-36 + -18x + (-2 * -3x + -1x * -3x))(24 + 4x) = 0 (-36 + -18x + (6x + 3x2))(24 + 4x) = 0 Combine like terms: -18x + 6x = -12x (-36 + -12x + 3x2)(24 + 4x) = 0 Multiply (-36 + -12x + 3x2) * (24 + 4x) (-36(24 + 4x) + -12x * (24 + 4x) + 3x2 * (24 + 4x)) = 0 ((24 * -36 + 4x * -36) + -12x * (24 + 4x) + 3x2 * (24 + 4x)) = 0 ((-864 + -144x) + -12x * (24 + 4x) + 3x2 * (24 + 4x)) = 0 (-864 + -144x + (24 * -12x + 4x * -12x) + 3x2 * (24 + 4x)) = 0 (-864 + -144x + (-288x + -48x2) + 3x2 * (24 + 4x)) = 0 (-864 + -144x + -288x + -48x2 + (24 * 3x2 + 4x * 3x2)) = 0 (-864 + -144x + -288x + -48x2 + (72x2 + 12x3)) = 0 Combine like terms: -144x + -288x = -432x (-864 + -432x + -48x2 + 72x2 + 12x3) = 0 Combine like terms: -48x2 + 72x2 = 24x2 (-864 + -432x + 24x2 + 12x3) = 0 Solving -864 + -432x + 24x2 + 12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12'. 12(-72 + -36x + 2x2 + x3) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-72 + -36x + 2x2 + x3)' equal to zero and attempt to solve: Simplifying -72 + -36x + 2x2 + x3 = 0 Solving -72 + -36x + 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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