6a-2a(a-1)=

Solution for 6a-2a(a-1)= equation:

Simplifying
6a + -2a(a + -1) = 0

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

Combine like terms: 6a + 2a = 8a
8a + -2a2 = 0

Solving
8a + -2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(4 + -1a) = 0

Ignore the factor 2.
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 '(4 + -1a)' equal to zero and attempt to solve:

Simplifying
4 + -1a = 0

Solving
4 + -1a = 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 + -1a = 0 + -4

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

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

Divide each side by '-1'.
a = 4

Simplifying
a = 4
Solution
a = {0, 4}