10a^7b^6+5ab^4-15ab^6=

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Solution for 10a^7b^6+5ab^4-15ab^6= equation:


Simplifying
10a7b6 + 5ab4 + -15ab6 = 0

Reorder the terms:
5ab4 + -15ab6 + 10a7b6 = 0

Solving
5ab4 + -15ab6 + 10a7b6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5ab4'.
5ab4(1 + -3b2 + 2a6b2) = 0

Ignore the factor 5.

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 + -3b2 + 2a6b2)' equal to zero and attempt to solve: Simplifying 1 + -3b2 + 2a6b2 = 0 Reorder the terms: 1 + 2a6b2 + -3b2 = 0 Solving 1 + 2a6b2 + -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 + 2a6b2 + -1 + -3b2 = 0 + -1 Reorder the terms: 1 + -1 + 2a6b2 + -3b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a6b2 + -3b2 = 0 + -1 2a6b2 + -3b2 = 0 + -1 Combine like terms: 0 + -1 = -1 2a6b2 + -3b2 = -1 Add '3b2' to each side of the equation. 2a6b2 + -3b2 + 3b2 = -1 + 3b2 Combine like terms: -3b2 + 3b2 = 0 2a6b2 + 0 = -1 + 3b2 2a6b2 = -1 + 3b2 Divide each side by '2b2'. a6 = -0.5b-2 + 1.5 Simplifying a6 = -0.5b-2 + 1.5 Reorder the terms: a6 = 1.5 + -0.5b-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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