4x^2+79x+330=0

Solution for 4x^2+79x+330=0 equation:

Simplifying
4x2 + 79x + 330 = 0

Reorder the terms:
330 + 79x + 4x2 = 0

Solving
330 + 79x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(55 + 4x)(6 + x) = 0

Subproblem 1
Set the factor '(55 + 4x)' equal to zero and attempt to solve:

Simplifying
55 + 4x = 0

Solving
55 + 4x = 0

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

Add '-55' to each side of the equation.
55 + -55 + 4x = 0 + -55

Combine like terms: 55 + -55 = 0
0 + 4x = 0 + -55
4x = 0 + -55

Combine like terms: 0 + -55 = -55
4x = -55

Divide each side by '4'.
x = -13.75

Simplifying
x = -13.75
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-13.75, -6}