a(3a-1)=4

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

Simplifying
a(3a + -1) = 4

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

Solving
-1a + 3a2 = 4

Solving for variable 'a'.

Reorder the terms:
-4 + -1a + 3a2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -1a + 3a2 = 0

Factor a trinomial.
(-1 + -1a)(4 + -3a) = 0

Subproblem 1
Set the factor '(-1 + -1a)' equal to zero and attempt to solve:

Simplifying
-1 + -1a = 0

Solving
-1 + -1a = 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 + -1a = 0 + 1

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

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

Divide each side by '-1'.
a = -1

Simplifying
a = -1
Subproblem 2
Set the factor '(4 + -3a)' equal to zero and attempt to solve:

Simplifying
4 + -3a = 0

Solving
4 + -3a = 0

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

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

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

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

Divide each side by '-3'.
a = 1.333333333

Simplifying
a = 1.333333333
Solution
a = {-1, 1.333333333}