4(x*x)+11x-69=0

Solution for 4(x*x)+11x-69=0 equation:

Simplifying
4(x * x) + 11x + -69 = 0

Multiply x * x
4(x2) + 11x + -69 = 0

Reorder the terms:
-69 + 11x + 4x2 = 0

Solving
-69 + 11x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-23 + -4x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-23 + -4x)' equal to zero and attempt to solve:

Simplifying
-23 + -4x = 0

Solving
-23 + -4x = 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 + -4x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -4x = 0 + 23
-4x = 0 + 23

Combine like terms: 0 + 23 = 23
-4x = 23

Divide each side by '-4'.
x = -5.75

Simplifying
x = -5.75
Subproblem 2
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
Solution
x = {-5.75, 3}