2ac^3(4a^2b+3c-2a^2)=0

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Solution for 2ac^3(4a^2b+3c-2a^2)=0 equation:


Simplifying
2ac3(4a2b + 3c + -2a2) = 0

Reorder the terms:
2ac3(-2a2 + 4a2b + 3c) = 0
(-2a2 * 2ac3 + 4a2b * 2ac3 + 3c * 2ac3) = 0

Reorder the terms:
(6ac4 + 8a3bc3 + -4a3c3) = 0
(6ac4 + 8a3bc3 + -4a3c3) = 0

Solving
6ac4 + 8a3bc3 + -4a3c3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2ac3'.
2ac3(3c + 4a2b + -2a2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'ac3' equal to zero and attempt to solve: Simplifying ac3 = 0 Solving ac3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ac3 = 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 '(3c + 4a2b + -2a2)' equal to zero and attempt to solve: Simplifying 3c + 4a2b + -2a2 = 0 Reorder the terms: -2a2 + 4a2b + 3c = 0 Solving -2a2 + 4a2b + 3c = 0 Move all terms containing a to the left, all other terms to the right. Add '-3c' to each side of the equation. -2a2 + 4a2b + 3c + -3c = 0 + -3c Combine like terms: 3c + -3c = 0 -2a2 + 4a2b + 0 = 0 + -3c -2a2 + 4a2b = 0 + -3c Remove the zero: -2a2 + 4a2b = -3c 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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