5*x^2+74*x+69=0

Solution for 5*x^2+74*x+69=0 equation:

Simplifying
5x2 + 74x + 69 = 0

Reorder the terms:
69 + 74x + 5x2 = 0

Solving
69 + 74x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(69 + 5x)(1 + x) = 0

Subproblem 1
Set the factor '(69 + 5x)' equal to zero and attempt to solve:

Simplifying
69 + 5x = 0

Solving
69 + 5x = 0

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

Add '-69' to each side of the equation.
69 + -69 + 5x = 0 + -69

Combine like terms: 69 + -69 = 0
0 + 5x = 0 + -69
5x = 0 + -69

Combine like terms: 0 + -69 = -69
5x = -69

Divide each side by '5'.
x = -13.8

Simplifying
x = -13.8
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {-13.8, -1}