2x^2+3x+8x+12=0

Solution for 2x^2+3x+8x+12=0 equation:

Simplifying
2x2 + 3x + 8x + 12 = 0

Reorder the terms:
12 + 3x + 8x + 2x2 = 0

Combine like terms: 3x + 8x = 11x
12 + 11x + 2x2 = 0

Solving
12 + 11x + 2x2 = 0

Solving for variable 'x'.

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

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

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {-4, -1.5}