9x^2-4x=69

Solution for 9x^2-4x=69 equation:

Simplifying
9x2 + -4x = 69

Reorder the terms:
-4x + 9x2 = 69

Solving
-4x + 9x2 = 69

Solving for variable 'x'.

Reorder the terms:
-69 + -4x + 9x2 = 69 + -69

Combine like terms: 69 + -69 = 0
-69 + -4x + 9x2 = 0

Factor a trinomial.
(-23 + -9x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-23 + -9x)' equal to zero and attempt to solve:

Simplifying
-23 + -9x = 0

Solving
-23 + -9x = 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 + -9x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -9x = 0 + 23
-9x = 0 + 23

Combine like terms: 0 + 23 = 23
-9x = 23

Divide each side by '-9'.
x = -2.555555556

Simplifying
x = -2.555555556
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 = {-2.555555556, 3}