a*a+3a+2=132

Solution for a*a+3a+2=132 equation:

Simplifying
a * a + 3a + 2 = 132

Multiply a * a
a2 + 3a + 2 = 132

Reorder the terms:
2 + 3a + a2 = 132

Solving
2 + 3a + a2 = 132

Solving for variable 'a'.

Reorder the terms:
2 + -132 + 3a + a2 = 132 + -132

Combine like terms: 2 + -132 = -130
-130 + 3a + a2 = 132 + -132

Combine like terms: 132 + -132 = 0
-130 + 3a + a2 = 0

Factor a trinomial.
(-13 + -1a)(10 + -1a) = 0

Subproblem 1
Set the factor '(-13 + -1a)' equal to zero and attempt to solve:

Simplifying
-13 + -1a = 0

Solving
-13 + -1a = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1a = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1a = 0 + 13
-1a = 0 + 13

Combine like terms: 0 + 13 = 13
-1a = 13

Divide each side by '-1'.
a = -13

Simplifying
a = -13
Subproblem 2
Set the factor '(10 + -1a)' equal to zero and attempt to solve:

Simplifying
10 + -1a = 0

Solving
10 + -1a = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1a = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1a = 0 + -10
-1a = 0 + -10

Combine like terms: 0 + -10 = -10
-1a = -10

Divide each side by '-1'.
a = 10

Simplifying
a = 10
Solution
a = {-13, 10}