x^2-214x+10608=0

Solution for x^2-214x+10608=0 equation:

Simplifying
x2 + -214x + 10608 = 0

Reorder the terms:
10608 + -214x + x2 = 0

Solving
10608 + -214x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(78 + -1x)(136 + -1x) = 0

Subproblem 1
Set the factor '(78 + -1x)' equal to zero and attempt to solve:

Simplifying
78 + -1x = 0

Solving
78 + -1x = 0

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

Add '-78' to each side of the equation.
78 + -78 + -1x = 0 + -78

Combine like terms: 78 + -78 = 0
0 + -1x = 0 + -78
-1x = 0 + -78

Combine like terms: 0 + -78 = -78
-1x = -78

Divide each side by '-1'.
x = 78

Simplifying
x = 78
Subproblem 2
Set the factor '(136 + -1x)' equal to zero and attempt to solve:

Simplifying
136 + -1x = 0

Solving
136 + -1x = 0

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

Add '-136' to each side of the equation.
136 + -136 + -1x = 0 + -136

Combine like terms: 136 + -136 = 0
0 + -1x = 0 + -136
-1x = 0 + -136

Combine like terms: 0 + -136 = -136
-1x = -136

Divide each side by '-1'.
x = 136

Simplifying
x = 136
Solution
x = {78, 136}