25a^6b^8+5ab^5-15ab^7=0

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Solution for 25a^6b^8+5ab^5-15ab^7=0 equation:


Simplifying
25a6b8 + 5ab5 + -15ab7 = 0

Reorder the terms:
5ab5 + -15ab7 + 25a6b8 = 0

Solving
5ab5 + -15ab7 + 25a6b8 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5ab5'.
5ab5(1 + -3b2 + 5a5b3) = 0

Ignore the factor 5.

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 + -3b2 + 5a5b3)' equal to zero and attempt to solve: Simplifying 1 + -3b2 + 5a5b3 = 0 Reorder the terms: 1 + 5a5b3 + -3b2 = 0 Solving 1 + 5a5b3 + -3b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5a5b3 + -1 + -3b2 = 0 + -1 Reorder the terms: 1 + -1 + 5a5b3 + -3b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5a5b3 + -3b2 = 0 + -1 5a5b3 + -3b2 = 0 + -1 Combine like terms: 0 + -1 = -1 5a5b3 + -3b2 = -1 Add '3b2' to each side of the equation. 5a5b3 + -3b2 + 3b2 = -1 + 3b2 Combine like terms: -3b2 + 3b2 = 0 5a5b3 + 0 = -1 + 3b2 5a5b3 = -1 + 3b2 Divide each side by '5b3'. a5 = -0.2b-3 + 0.6b-1 Simplifying a5 = -0.2b-3 + 0.6b-1 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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