a^2-a+4a-3a^2=

Solution for a^2-a+4a-3a^2= equation:

Simplifying
a2 + -1a + 4a + -3a2 = 0

Reorder the terms:
-1a + 4a + a2 + -3a2 = 0

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

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

Solving
3a + -2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(3 + -2a) = 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 '(3 + -2a)' equal to zero and attempt to solve:

Simplifying
3 + -2a = 0

Solving
3 + -2a = 0

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

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

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

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

Divide each side by '-2'.
a = 1.5

Simplifying
a = 1.5
Solution
a = {0, 1.5}