39x^2+55x=-4

Solution for 39x^2+55x=-4 equation:

Simplifying
39x2 + 55x = -4

Reorder the terms:
55x + 39x2 = -4

Solving
55x + 39x2 = -4

Solving for variable 'x'.

Reorder the terms:
4 + 55x + 39x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 55x + 39x2 = 0

Factor a trinomial.
(4 + 3x)(1 + 13x) = 0

Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 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 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Subproblem 2
Set the factor '(1 + 13x)' equal to zero and attempt to solve:

Simplifying
1 + 13x = 0

Solving
1 + 13x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 13x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 13x = 0 + -1
13x = 0 + -1

Combine like terms: 0 + -1 = -1
13x = -1

Divide each side by '13'.
x = -0.07692307692

Simplifying
x = -0.07692307692
Solution
x = {-1.333333333, -0.07692307692}