-6a+3=-3a(2a-1)

Solution for -6a+3=-3a(2a-1) equation:

Simplifying
-6a + 3 = -3a(2a + -1)

Reorder the terms:
3 + -6a = -3a(2a + -1)

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

Solving
3 + -6a = 3a + -6a2

Solving for variable 'a'.

Combine like terms: -6a + -3a = -9a
3 + -9a + 6a2 = 3a + -6a2 + -3a + 6a2

Reorder the terms:
3 + -9a + 6a2 = 3a + -3a + -6a2 + 6a2

Combine like terms: 3a + -3a = 0
3 + -9a + 6a2 = 0 + -6a2 + 6a2
3 + -9a + 6a2 = -6a2 + 6a2

Combine like terms: -6a2 + 6a2 = 0
3 + -9a + 6a2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -3a + 2a2) = 0

Factor a trinomial.
3((1 + -2a)(1 + -1a)) = 0

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

Simplifying
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 2
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
Solution
a = {0.5, 1}