3x^2+20x+32=4

Solution for 3x^2+20x+32=4 equation:

Simplifying
3x2 + 20x + 32 = 4

Reorder the terms:
32 + 20x + 3x2 = 4

Solving
32 + 20x + 3x2 = 4

Solving for variable 'x'.

Reorder the terms:
32 + -4 + 20x + 3x2 = 4 + -4

Combine like terms: 32 + -4 = 28
28 + 20x + 3x2 = 4 + -4

Combine like terms: 4 + -4 = 0
28 + 20x + 3x2 = 0

Factor a trinomial.
(14 + 3x)(2 + x) = 0

Subproblem 1
Set the factor '(14 + 3x)' equal to zero and attempt to solve:

Simplifying
14 + 3x = 0

Solving
14 + 3x = 0

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

Add '-14' to each side of the equation.
14 + -14 + 3x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 0 + -14
3x = 0 + -14

Combine like terms: 0 + -14 = -14
3x = -14

Divide each side by '3'.
x = -4.666666667

Simplifying
x = -4.666666667
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-4.666666667, -2}