3x^2-32x+69=

Solution for 3x^2-32x+69= equation:

Simplifying
3x2 + -32x + 69 = 0

Reorder the terms:
69 + -32x + 3x2 = 0

Solving
69 + -32x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x)(23 + -3x) = 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 + -3x)' equal to zero and attempt to solve:

Simplifying
23 + -3x = 0

Solving
23 + -3x = 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 + -3x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -3x = 0 + -23
-3x = 0 + -23

Combine like terms: 0 + -23 = -23
-3x = -23

Divide each side by '-3'.
x = 7.666666667

Simplifying
x = 7.666666667
Solution
x = {3, 7.666666667}