x^2-28x+196=64

Solution for x^2-28x+196=64 equation:

Simplifying
x2 + -28x + 196 = 64

Reorder the terms:
196 + -28x + x2 = 64

Solving
196 + -28x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
196 + -64 + -28x + x2 = 64 + -64

Combine like terms: 196 + -64 = 132
132 + -28x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
132 + -28x + x2 = 0

Factor a trinomial.
(6 + -1x)(22 + -1x) = 0

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve:

Simplifying
22 + -1x = 0

Solving
22 + -1x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 0 + -22
-1x = 0 + -22

Combine like terms: 0 + -22 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22
Solution
x = {6, 22}