6x^2-128x+232=0

Solution for 6x^2-128x+232=0 equation:

Simplifying
6x2 + -128x + 232 = 0

Reorder the terms:
232 + -128x + 6x2 = 0

Solving
232 + -128x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(116 + -64x + 3x2) = 0

Factor a trinomial.
2((2 + -1x)(58 + -3x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(58 + -3x)' equal to zero and attempt to solve:

Simplifying
58 + -3x = 0

Solving
58 + -3x = 0

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

Add '-58' to each side of the equation.
58 + -58 + -3x = 0 + -58

Combine like terms: 58 + -58 = 0
0 + -3x = 0 + -58
-3x = 0 + -58

Combine like terms: 0 + -58 = -58
-3x = -58

Divide each side by '-3'.
x = 19.33333333

Simplifying
x = 19.33333333
Solution
x = {2, 19.33333333}