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Simplifying 24x4 + -54x = 12x3 + -27x Reorder the terms: -54x + 24x4 = 12x3 + -27x Reorder the terms: -54x + 24x4 = -27x + 12x3 Solving -54x + 24x4 = -27x + 12x3 Solving for variable 'x'. Reorder the terms: -54x + 27x + -12x3 + 24x4 = -27x + 12x3 + 27x + -12x3 Combine like terms: -54x + 27x = -27x -27x + -12x3 + 24x4 = -27x + 12x3 + 27x + -12x3 Reorder the terms: -27x + -12x3 + 24x4 = -27x + 27x + 12x3 + -12x3 Combine like terms: -27x + 27x = 0 -27x + -12x3 + 24x4 = 0 + 12x3 + -12x3 -27x + -12x3 + 24x4 = 12x3 + -12x3 Combine like terms: 12x3 + -12x3 = 0 -27x + -12x3 + 24x4 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-9 + -4x2 + 8x3) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-9 + -4x2 + 8x3)' equal to zero and attempt to solve: Simplifying -9 + -4x2 + 8x3 = 0 Solving -9 + -4x2 + 8x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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