5x^2+38x+69=0

Solution for 5x^2+38x+69=0 equation:

Simplifying
5x2 + 38x + 69 = 0

Reorder the terms:
69 + 38x + 5x2 = 0

Solving
69 + 38x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(23 + 5x)(3 + x) = 0

Subproblem 1
Set the factor '(23 + 5x)' equal to zero and attempt to solve:

Simplifying
23 + 5x = 0

Solving
23 + 5x = 0

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

Add '-23' to each side of the equation.
23 + -23 + 5x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 5x = 0 + -23
5x = 0 + -23

Combine like terms: 0 + -23 = -23
5x = -23

Divide each side by '5'.
x = -4.6

Simplifying
x = -4.6
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

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

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

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

Simplifying
x = -3
Solution
x = {-4.6, -3}