24a^3b^7+4ab^5-12ab^8=0

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Solution for 24a^3b^7+4ab^5-12ab^8=0 equation:


Simplifying
24a3b7 + 4ab5 + -12ab8 = 0

Reorder the terms:
4ab5 + -12ab8 + 24a3b7 = 0

Solving
4ab5 + -12ab8 + 24a3b7 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4ab5'.
4ab5(1 + -3b3 + 6a2b2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'ab5' equal to zero and attempt to solve: Simplifying ab5 = 0 Solving ab5 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab5 = 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 + -3b3 + 6a2b2)' equal to zero and attempt to solve: Simplifying 1 + -3b3 + 6a2b2 = 0 Reorder the terms: 1 + 6a2b2 + -3b3 = 0 Solving 1 + 6a2b2 + -3b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 6a2b2 + -1 + -3b3 = 0 + -1 Reorder the terms: 1 + -1 + 6a2b2 + -3b3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6a2b2 + -3b3 = 0 + -1 6a2b2 + -3b3 = 0 + -1 Combine like terms: 0 + -1 = -1 6a2b2 + -3b3 = -1 Add '3b3' to each side of the equation. 6a2b2 + -3b3 + 3b3 = -1 + 3b3 Combine like terms: -3b3 + 3b3 = 0 6a2b2 + 0 = -1 + 3b3 6a2b2 = -1 + 3b3 Divide each side by '6b2'. a2 = -0.1666666667b-2 + 0.5b Simplifying a2 = -0.1666666667b-2 + 0.5b 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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