12a^2b^5+2ab^2-6ab^6=

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Solution for 12a^2b^5+2ab^2-6ab^6= equation:


Simplifying
12a2b5 + 2ab2 + -6ab6 = 0

Reorder the terms:
2ab2 + -6ab6 + 12a2b5 = 0

Solving
2ab2 + -6ab6 + 12a2b5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2ab2'.
2ab2(1 + -3b4 + 6ab3) = 0

Ignore the factor 2.

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 + -3b4 + 6ab3)' equal to zero and attempt to solve: Simplifying 1 + -3b4 + 6ab3 = 0 Reorder the terms: 1 + 6ab3 + -3b4 = 0 Solving 1 + 6ab3 + -3b4 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 6ab3 + -1 + -3b4 = 0 + -1 Reorder the terms: 1 + -1 + 6ab3 + -3b4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6ab3 + -3b4 = 0 + -1 6ab3 + -3b4 = 0 + -1 Combine like terms: 0 + -1 = -1 6ab3 + -3b4 = -1 Add '3b4' to each side of the equation. 6ab3 + -3b4 + 3b4 = -1 + 3b4 Combine like terms: -3b4 + 3b4 = 0 6ab3 + 0 = -1 + 3b4 6ab3 = -1 + 3b4 Divide each side by '6b3'. a = -0.1666666667b-3 + 0.5b Simplifying a = -0.1666666667b-3 + 0.5b

Solution

a = {-0.1666666667b-3 + 0.5b}

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