12x^2+40x+32=20

Solution for 12x^2+40x+32=20 equation:

Simplifying
12x2 + 40x + 32 = 20

Reorder the terms:
32 + 40x + 12x2 = 20

Solving
32 + 40x + 12x2 = 20

Solving for variable 'x'.

Reorder the terms:
32 + -20 + 40x + 12x2 = 20 + -20

Combine like terms: 32 + -20 = 12
12 + 40x + 12x2 = 20 + -20

Combine like terms: 20 + -20 = 0
12 + 40x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + 10x + 3x2) = 0

Factor a trinomial.
4((3 + x)(1 + 3x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 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 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-3, -0.3333333333}