4x^2-110x+204=0

Solution for 4x^2-110x+204=0 equation:

Simplifying
4x2 + -110x + 204 = 0

Reorder the terms:
204 + -110x + 4x2 = 0

Solving
204 + -110x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(102 + -55x + 2x2) = 0

Factor a trinomial.
2((2 + -1x)(51 + -2x)) = 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 '(51 + -2x)' equal to zero and attempt to solve:

Simplifying
51 + -2x = 0

Solving
51 + -2x = 0

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

Add '-51' to each side of the equation.
51 + -51 + -2x = 0 + -51

Combine like terms: 51 + -51 = 0
0 + -2x = 0 + -51
-2x = 0 + -51

Combine like terms: 0 + -51 = -51
-2x = -51

Divide each side by '-2'.
x = 25.5

Simplifying
x = 25.5
Solution
x = {2, 25.5}