x^2-176x+7168=0

Solution for x^2-176x+7168=0 equation:

Simplifying
x2 + -176x + 7168 = 0

Reorder the terms:
7168 + -176x + x2 = 0

Solving
7168 + -176x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(64 + -1x)(112 + -1x) = 0

Subproblem 1
Set the factor '(64 + -1x)' equal to zero and attempt to solve:

Simplifying
64 + -1x = 0

Solving
64 + -1x = 0

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

Add '-64' to each side of the equation.
64 + -64 + -1x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -1x = 0 + -64
-1x = 0 + -64

Combine like terms: 0 + -64 = -64
-1x = -64

Divide each side by '-1'.
x = 64

Simplifying
x = 64
Subproblem 2
Set the factor '(112 + -1x)' equal to zero and attempt to solve:

Simplifying
112 + -1x = 0

Solving
112 + -1x = 0

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

Add '-112' to each side of the equation.
112 + -112 + -1x = 0 + -112

Combine like terms: 112 + -112 = 0
0 + -1x = 0 + -112
-1x = 0 + -112

Combine like terms: 0 + -112 = -112
-1x = -112

Divide each side by '-1'.
x = 112

Simplifying
x = 112
Solution
x = {64, 112}