10a^2b^4-6ab+12a=

Solution for 10a^2b^4-6ab+12a= equation:

Simplifying
10a2b4 + -6ab + 12a = 0

Reorder the terms:
12a + -6ab + 10a2b4 = 0

Solving
12a + -6ab + 10a2b4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(6 + -3b + 5ab4) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
a = 0
Subproblem 2
Set the factor '(6 + -3b + 5ab4)' equal to zero and attempt to solve:

Simplifying
6 + -3b + 5ab4 = 0

Reorder the terms:
6 + 5ab4 + -3b = 0

Solving
6 + 5ab4 + -3b = 0

Move all terms containing a to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + 5ab4 + -6 + -3b = 0 + -6

Reorder the terms:
6 + -6 + 5ab4 + -3b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5ab4 + -3b = 0 + -6
5ab4 + -3b = 0 + -6

Combine like terms: 0 + -6 = -6
5ab4 + -3b = -6

Add '3b' to each side of the equation.
5ab4 + -3b + 3b = -6 + 3b

Combine like terms: -3b + 3b = 0
5ab4 + 0 = -6 + 3b
5ab4 = -6 + 3b

Divide each side by '5b4'.
a = -1.2b-4 + 0.6b-3

Simplifying
a = -1.2b-4 + 0.6b-3
Solution
a = {0, -1.2b-4 + 0.6b-3}