32+21x+x^2=12

Solution for 32+21x+x^2=12 equation:

Simplifying
32 + 21x + x2 = 12

Solving
32 + 21x + x2 = 12

Solving for variable 'x'.

Reorder the terms:
32 + -12 + 21x + x2 = 12 + -12

Combine like terms: 32 + -12 = 20
20 + 21x + x2 = 12 + -12

Combine like terms: 12 + -12 = 0
20 + 21x + x2 = 0

Factor a trinomial.
(20 + x)(1 + x) = 0

Subproblem 1
Set the factor '(20 + x)' equal to zero and attempt to solve:

Simplifying
20 + x = 0

Solving
20 + x = 0

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

Add '-20' to each side of the equation.
20 + -20 + x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + x = 0 + -20
x = 0 + -20

Combine like terms: 0 + -20 = -20
x = -20

Simplifying
x = -20
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-20, -1}