24a^7b^5+8ab^2-64ab^5=0

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Solution for 24a^7b^5+8ab^2-64ab^5=0 equation:


Simplifying
24a7b5 + 8ab2 + -64ab5 = 0

Reorder the terms:
8ab2 + -64ab5 + 24a7b5 = 0

Solving
8ab2 + -64ab5 + 24a7b5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8ab2'.
8ab2(1 + -8b3 + 3a6b3) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 'ab2' equal to zero and attempt to solve: Simplifying ab2 = 0 Solving ab2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab2 = 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 + -8b3 + 3a6b3)' equal to zero and attempt to solve: Simplifying 1 + -8b3 + 3a6b3 = 0 Reorder the terms: 1 + 3a6b3 + -8b3 = 0 Solving 1 + 3a6b3 + -8b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3a6b3 + -1 + -8b3 = 0 + -1 Reorder the terms: 1 + -1 + 3a6b3 + -8b3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3a6b3 + -8b3 = 0 + -1 3a6b3 + -8b3 = 0 + -1 Combine like terms: 0 + -1 = -1 3a6b3 + -8b3 = -1 Add '8b3' to each side of the equation. 3a6b3 + -8b3 + 8b3 = -1 + 8b3 Combine like terms: -8b3 + 8b3 = 0 3a6b3 + 0 = -1 + 8b3 3a6b3 = -1 + 8b3 Divide each side by '3b3'. a6 = -0.3333333333b-3 + 2.666666667 Simplifying a6 = -0.3333333333b-3 + 2.666666667 Reorder the terms: a6 = 2.666666667 + -0.3333333333b-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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