(a+2)(a+2)=60+3a

Solution for (a+2)(a+2)=60+3a equation:

Simplifying
(a + 2)(a + 2) = 60 + 3a

Reorder the terms:
(2 + a)(a + 2) = 60 + 3a

Reorder the terms:
(2 + a)(2 + a) = 60 + 3a

Multiply (2 + a) * (2 + a)
(2(2 + a) + a(2 + a)) = 60 + 3a
((2 * 2 + a * 2) + a(2 + a)) = 60 + 3a
((4 + 2a) + a(2 + a)) = 60 + 3a
(4 + 2a + (2 * a + a * a)) = 60 + 3a
(4 + 2a + (2a + a2)) = 60 + 3a

Combine like terms: 2a + 2a = 4a
(4 + 4a + a2) = 60 + 3a

Solving
4 + 4a + a2 = 60 + 3a

Solving for variable 'a'.

Reorder the terms:
4 + -60 + 4a + -3a + a2 = 60 + 3a + -60 + -3a

Combine like terms: 4 + -60 = -56
-56 + 4a + -3a + a2 = 60 + 3a + -60 + -3a

Combine like terms: 4a + -3a = 1a
-56 + 1a + a2 = 60 + 3a + -60 + -3a

Reorder the terms:
-56 + 1a + a2 = 60 + -60 + 3a + -3a

Combine like terms: 60 + -60 = 0
-56 + 1a + a2 = 0 + 3a + -3a
-56 + 1a + a2 = 3a + -3a

Combine like terms: 3a + -3a = 0
-56 + 1a + a2 = 0

Factor a trinomial.
(-8 + -1a)(7 + -1a) = 0

Subproblem 1
Set the factor '(-8 + -1a)' equal to zero and attempt to solve:

Simplifying
-8 + -1a = 0

Solving
-8 + -1a = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1a = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1a = 0 + 8
-1a = 0 + 8

Combine like terms: 0 + 8 = 8
-1a = 8

Divide each side by '-1'.
a = -8

Simplifying
a = -8
Subproblem 2
Set the factor '(7 + -1a)' equal to zero and attempt to solve:

Simplifying
7 + -1a = 0

Solving
7 + -1a = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1a = 0 + -7
-1a = 0 + -7

Combine like terms: 0 + -7 = -7
-1a = -7

Divide each side by '-1'.
a = 7

Simplifying
a = 7
Solution
a = {-8, 7}