a^2-3a-3=-3

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

Simplifying
a2 + -3a + -3 = -3

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

Add '3' to each side of the equation.
-3 + -3a + 3 + a2 = -3 + 3

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

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

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

Solving
-3a + a2 = 0

Solving for variable 'a'.

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

Simplifying
-3 + a = 0

Solving
-3 + a = 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 + a = 0 + 3

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

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

Simplifying
a = 3
Solution
a = {0, 3}