=5a^2b^2+15ab-30a

Solution for =5a^2b^2+15ab-30a equation:

Simplifying
0 = 5a2b2 + 15ab + -30a

Reorder the terms:
0 = -30a + 15ab + 5a2b2

Solving
0 = -30a + 15ab + 5a2b2

Solving for variable 'a'.
Remove the zero:
30a + -15ab + -5a2b2 = -30a + 15ab + 5a2b2 + 30a + -15ab + -5a2b2

Reorder the terms:
30a + -15ab + -5a2b2 = -30a + 30a + 15ab + -15ab + 5a2b2 + -5a2b2

Combine like terms: -30a + 30a = 0
30a + -15ab + -5a2b2 = 0 + 15ab + -15ab + 5a2b2 + -5a2b2
30a + -15ab + -5a2b2 = 15ab + -15ab + 5a2b2 + -5a2b2

Combine like terms: 15ab + -15ab = 0
30a + -15ab + -5a2b2 = 0 + 5a2b2 + -5a2b2
30a + -15ab + -5a2b2 = 5a2b2 + -5a2b2

Combine like terms: 5a2b2 + -5a2b2 = 0
30a + -15ab + -5a2b2 = 0

Factor out the Greatest Common Factor (GCF), '5a'.
5a(6 + -3b + -1ab2) = 0

Ignore the factor 5.
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 + -1ab2)' equal to zero and attempt to solve:

Simplifying
6 + -3b + -1ab2 = 0

Reorder the terms:
6 + -1ab2 + -3b = 0

Solving
6 + -1ab2 + -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 + -1ab2 + -6 + -3b = 0 + -6

Reorder the terms:
6 + -6 + -1ab2 + -3b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1ab2 + -3b = 0 + -6
-1ab2 + -3b = 0 + -6

Combine like terms: 0 + -6 = -6
-1ab2 + -3b = -6

Add '3b' to each side of the equation.
-1ab2 + -3b + 3b = -6 + 3b

Combine like terms: -3b + 3b = 0
-1ab2 + 0 = -6 + 3b
-1ab2 = -6 + 3b

Divide each side by '-1b2'.
a = 6b-2 + -3b-1

Simplifying
a = 6b-2 + -3b-1
Solution
a = {0, 6b-2 + -3b-1}