4a^2b+4ab-3b=

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Solution for 4a^2b+4ab-3b= equation: 


Simplifying
4a2b + 4ab + -3b = 0

Reorder the terms:
4ab + 4a2b + -3b = 0

Solving
4ab + 4a2b + -3b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(4a + 4a2 + -3) = 0

Factor a trinomial.
b((2a + -1)(2a + 3)) = 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 '(2a + -1)' equal to zero and attempt to solve:

Simplifying
2a + -1 = 0

Reorder the terms:
-1 + 2a = 0

Solving
-1 + 2a = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2a = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2a = 0 + 1
2a = 0 + 1

Combine like terms: 0 + 1 = 1
2a = 1

Divide each side by '2'.
a = 0.5

Simplifying
a = 0.5

Subproblem 3
Set the factor '(2a + 3)' equal to zero and attempt to solve:

Simplifying
2a + 3 = 0

Reorder the terms:
3 + 2a = 0

Solving
3 + 2a = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2a = 0 + -3
2a = 0 + -3

Combine like terms: 0 + -3 = -3
2a = -3

Divide each side by '2'.
a = -1.5

Simplifying
a = -1.5
Solution
a = {0.5, -1.5}

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