12a^4b^6+4ab^4-24ab^6=0

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Solution for 12a^4b^6+4ab^4-24ab^6=0 equation:


Simplifying
12a4b6 + 4ab4 + -24ab6 = 0

Reorder the terms:
4ab4 + -24ab6 + 12a4b6 = 0

Solving
4ab4 + -24ab6 + 12a4b6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4ab4'.
4ab4(1 + -6b2 + 3a3b2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'ab4' equal to zero and attempt to solve: Simplifying ab4 = 0 Solving ab4 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab4 = 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 '(1 + -6b2 + 3a3b2)' equal to zero and attempt to solve: Simplifying 1 + -6b2 + 3a3b2 = 0 Reorder the terms: 1 + 3a3b2 + -6b2 = 0 Solving 1 + 3a3b2 + -6b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3a3b2 + -1 + -6b2 = 0 + -1 Reorder the terms: 1 + -1 + 3a3b2 + -6b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3a3b2 + -6b2 = 0 + -1 3a3b2 + -6b2 = 0 + -1 Combine like terms: 0 + -1 = -1 3a3b2 + -6b2 = -1 Add '6b2' to each side of the equation. 3a3b2 + -6b2 + 6b2 = -1 + 6b2 Combine like terms: -6b2 + 6b2 = 0 3a3b2 + 0 = -1 + 6b2 3a3b2 = -1 + 6b2 Divide each side by '3b2'. a3 = -0.3333333333b-2 + 2 Simplifying a3 = -0.3333333333b-2 + 2 Reorder the terms: a3 = 2 + -0.3333333333b-2 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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