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Simplifying 24a2b3c4 + 12a2b2c3 + -9ab2c = 0 Reorder the terms: -9ab2c + 12a2b2c3 + 24a2b3c4 = 0 Solving -9ab2c + 12a2b2c3 + 24a2b3c4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3ab2c'. 3ab2c(-3 + 4ac2 + 8abc3) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'ab2c' equal to zero and attempt to solve: Simplifying ab2c = 0 Solving ab2c = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab2c = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3 + 4ac2 + 8abc3)' equal to zero and attempt to solve: Simplifying -3 + 4ac2 + 8abc3 = 0 Reorder the terms: -3 + 8abc3 + 4ac2 = 0 Solving -3 + 8abc3 + 4ac2 = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 8abc3 + 3 + 4ac2 = 0 + 3 Reorder the terms: -3 + 3 + 8abc3 + 4ac2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8abc3 + 4ac2 = 0 + 3 8abc3 + 4ac2 = 0 + 3 Combine like terms: 0 + 3 = 3 8abc3 + 4ac2 = 3 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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