0=5x^2+8x-69

Solution for 0=5x^2+8x-69 equation:

Simplifying
0 = 5x2 + 8x + -69

Reorder the terms:
0 = -69 + 8x + 5x2

Solving
0 = -69 + 8x + 5x2

Solving for variable 'x'.

Combine like terms: 0 + 69 = 69
69 + -8x + -5x2 = -69 + 8x + 5x2 + 69 + -8x + -5x2

Reorder the terms:
69 + -8x + -5x2 = -69 + 69 + 8x + -8x + 5x2 + -5x2

Combine like terms: -69 + 69 = 0
69 + -8x + -5x2 = 0 + 8x + -8x + 5x2 + -5x2
69 + -8x + -5x2 = 8x + -8x + 5x2 + -5x2

Combine like terms: 8x + -8x = 0
69 + -8x + -5x2 = 0 + 5x2 + -5x2
69 + -8x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
69 + -8x + -5x2 = 0

Factor a trinomial.
(3 + -1x)(23 + 5x) = 0

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
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
Solution
x = {3, -4.6}