3a(4a+3b-1)=

Solution for 3a(4a+3b-1)= equation:

Simplifying
3a(4a + 3b + -1) = 0

Reorder the terms:
3a(-1 + 4a + 3b) = 0
(-1 * 3a + 4a * 3a + 3b * 3a) = 0

Reorder the terms:
(-3a + 9ab + 12a2) = 0
(-3a + 9ab + 12a2) = 0

Solving
-3a + 9ab + 12a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(-1 + 3b + 4a) = 0

Ignore the factor 3.
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 '(-1 + 3b + 4a)' equal to zero and attempt to solve:

Simplifying
-1 + 3b + 4a = 0

Reorder the terms:
-1 + 4a + 3b = 0

Solving
-1 + 4a + 3b = 0

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

Add '1' to each side of the equation.
-1 + 4a + 1 + 3b = 0 + 1

Reorder the terms:
-1 + 1 + 4a + 3b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4a + 3b = 0 + 1
4a + 3b = 0 + 1

Combine like terms: 0 + 1 = 1
4a + 3b = 1

Add '-3b' to each side of the equation.
4a + 3b + -3b = 1 + -3b

Combine like terms: 3b + -3b = 0
4a + 0 = 1 + -3b
4a = 1 + -3b

Divide each side by '4'.
a = 0.25 + -0.75b

Simplifying
a = 0.25 + -0.75b
Solution
a = {0, 0.25 + -0.75b}