3a(1a-2)+4a=

Solution for 3a(1a-2)+4a= equation:

Simplifying
3a(1a + -2) + 4a = 0

Reorder the terms:
3a(-2 + 1a) + 4a = 0
(-2 * 3a + 1a * 3a) + 4a = 0
(-6a + 3a2) + 4a = 0

Reorder the terms:
-6a + 4a + 3a2 = 0

Combine like terms: -6a + 4a = -2a
-2a + 3a2 = 0

Solving
-2a + 3a2 = 0

Solving for variable 'a'.

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

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 '(-2 + 3a)' equal to zero and attempt to solve:

Simplifying
-2 + 3a = 0

Solving
-2 + 3a = 0

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

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

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

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

Divide each side by '3'.
a = 0.6666666667

Simplifying
a = 0.6666666667
Solution
a = {0, 0.6666666667}