14x^2+132x+310=0

Solution for 14x^2+132x+310=0 equation:

Simplifying
14x2 + 132x + 310 = 0

Reorder the terms:
310 + 132x + 14x2 = 0

Solving
310 + 132x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(155 + 66x + 7x2) = 0

Factor a trinomial.
2((5 + x)(31 + 7x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(31 + 7x)' equal to zero and attempt to solve:

Simplifying
31 + 7x = 0

Solving
31 + 7x = 0

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

Add '-31' to each side of the equation.
31 + -31 + 7x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 7x = 0 + -31
7x = 0 + -31

Combine like terms: 0 + -31 = -31
7x = -31

Divide each side by '7'.
x = -4.428571429

Simplifying
x = -4.428571429
Solution
x = {-5, -4.428571429}