=3(a+1)(a+1)

Solution for =3(a+1)(a+1) equation:

Simplifying
0 = 3(a + 1)(a + 1)

Reorder the terms:
0 = 3(1 + a)(a + 1)

Reorder the terms:
0 = 3(1 + a)(1 + a)

Multiply (1 + a) * (1 + a)
0 = 3(1(1 + a) + a(1 + a))
0 = 3((1 * 1 + a * 1) + a(1 + a))
0 = 3((1 + 1a) + a(1 + a))
0 = 3(1 + 1a + (1 * a + a * a))
0 = 3(1 + 1a + (1a + a2))

Combine like terms: 1a + 1a = 2a
0 = 3(1 + 2a + a2)
0 = (1 * 3 + 2a * 3 + a2 * 3)
0 = (3 + 6a + 3a2)

Solving
0 = 3 + 6a + 3a2

Solving for variable 'a'.

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

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

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

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

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

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

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

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

Simplifying
1 + a = 0

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

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

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

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

Simplifying
1 + a = 0

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

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

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

Simplifying
a = -1
Solution
a = {-1, -1}