3x^2+14x=-8

Solution for 3x^2+14x=-8 equation:

Simplifying
3x2 + 14x = -8

Reorder the terms:
14x + 3x2 = -8

Solving
14x + 3x2 = -8

Solving for variable 'x'.

Reorder the terms:
8 + 14x + 3x2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 14x + 3x2 = 0

Factor a trinomial.
(4 + x)(2 + 3x) = 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 '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

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

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

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

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-4, -0.6666666667}