(x-5)(x-5)=4

Solution for (x-5)(x-5)=4 equation:

Simplifying
(x + -5)(x + -5) = 4

Reorder the terms:
(-5 + x)(x + -5) = 4

Reorder the terms:
(-5 + x)(-5 + x) = 4

Multiply (-5 + x) * (-5 + x)
(-5(-5 + x) + x(-5 + x)) = 4
((-5 * -5 + x * -5) + x(-5 + x)) = 4
((25 + -5x) + x(-5 + x)) = 4
(25 + -5x + (-5 * x + x * x)) = 4
(25 + -5x + (-5x + x2)) = 4

Combine like terms: -5x + -5x = -10x
(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}