X^2-10X+25=4

Solution for X^2-10X+25=4 equation:

Simplifying
X2 + -10X + 25 = 4

Reorder the terms:
25 + -10X + X2 = 4

Solving
25 + -10X + X2 = 4

Solving for variable 'X'.

Reorder the terms:
25 + -4 + -10X + X2 = 4 + -4

Combine like terms: 25 + -4 = 21
21 + -10X + X2 = 4 + -4

Combine like terms: 4 + -4 = 0
21 + -10X + X2 = 0

Factor a trinomial.
(3 + -1X)(7 + -1X) = 0

Subproblem 1
Set the factor '(3 + -1X)' equal to zero and attempt to solve:

Simplifying
3 + -1X = 0

Solving
3 + -1X = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1X = 0 + -3
-1X = 0 + -3

Combine like terms: 0 + -3 = -3
-1X = -3

Divide each side by '-1'.
X = 3

Simplifying
X = 3
Subproblem 2
Set the factor '(7 + -1X)' equal to zero and attempt to solve:

Simplifying
7 + -1X = 0

Solving
7 + -1X = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1X = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1X = 0 + -7
-1X = 0 + -7

Combine like terms: 0 + -7 = -7
-1X = -7

Divide each side by '-1'.
X = 7

Simplifying
X = 7
Solution
X = {3, 7}