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

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

Simplifying
a2 + -3(a + 2) = 4

Reorder the terms:
a2 + -3(2 + a) = 4
a2 + (2 * -3 + a * -3) = 4
a2 + (-6 + -3a) = 4

Reorder the terms:
-6 + -3a + a2 = 4

Solving
-6 + -3a + a2 = 4

Solving for variable 'a'.

Reorder the terms:
-6 + -4 + -3a + a2 = 4 + -4

Combine like terms: -6 + -4 = -10
-10 + -3a + a2 = 4 + -4

Combine like terms: 4 + -4 = 0
-10 + -3a + a2 = 0

Factor a trinomial.
(-2 + -1a)(5 + -1a) = 0

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

Simplifying
-2 + -1a = 0

Solving
-2 + -1a = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1a = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1a = 0 + 2
-1a = 0 + 2

Combine like terms: 0 + 2 = 2
-1a = 2

Divide each side by '-1'.
a = -2

Simplifying
a = -2
Subproblem 2
Set the factor '(5 + -1a)' equal to zero and attempt to solve:

Simplifying
5 + -1a = 0

Solving
5 + -1a = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1a = 0 + -5
-1a = 0 + -5

Combine like terms: 0 + -5 = -5
-1a = -5

Divide each side by '-1'.
a = 5

Simplifying
a = 5
Solution
a = {-2, 5}