12a^2b-13ab-35b=0

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Solution for 12a^2b-13ab-35b=0 equation: 


Simplifying
12a2b + -13ab + -35b = 0

Reorder the terms:
-13ab + 12a2b + -35b = 0

Solving
-13ab + 12a2b + -35b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-13a + 12a2 + -35) = 0

Factor a trinomial.
b((3a + -7)(4a + 5)) = 0


Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Add '-1b' to each side of the equation.
b + -1b = 0 + -1b
Remove the zero:
0 = -1b

Simplifying
0 = -1b

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 '(3a + -7)' equal to zero and attempt to solve:

Simplifying
3a + -7 = 0

Reorder the terms:
-7 + 3a = 0

Solving
-7 + 3a = 0

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

Add '7' to each side of the equation.
-7 + 7 + 3a = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3a = 0 + 7
3a = 0 + 7

Combine like terms: 0 + 7 = 7
3a = 7

Divide each side by '3'.
a = 2.333333333

Simplifying
a = 2.333333333

Subproblem 3
Set the factor '(4a + 5)' equal to zero and attempt to solve:

Simplifying
4a + 5 = 0

Reorder the terms:
5 + 4a = 0

Solving
5 + 4a = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4a = 0 + -5
4a = 0 + -5

Combine like terms: 0 + -5 = -5
4a = -5

Divide each side by '4'.
a = -1.25

Simplifying
a = -1.25
Solution
a = {2.333333333, -1.25}

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