(x-3)(x-3)=4

Solution for (x-3)(x-3)=4 equation:

Simplifying
(x + -3)(x + -3) = 4

Reorder the terms:
(-3 + x)(x + -3) = 4

Reorder the terms:
(-3 + x)(-3 + x) = 4

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x)) = 4
((-3 * -3 + x * -3) + x(-3 + x)) = 4
((9 + -3x) + x(-3 + x)) = 4
(9 + -3x + (-3 * x + x * x)) = 4
(9 + -3x + (-3x + x2)) = 4

Combine like terms: -3x + -3x = -6x
(9 + -6x + x2) = 4

Solving
9 + -6x + x2 = 4

Solving for variable 'x'.

Reorder the terms:
9 + -4 + -6x + x2 = 4 + -4

Combine like terms: 9 + -4 = 5
5 + -6x + x2 = 4 + -4

Combine like terms: 4 + -4 = 0
5 + -6x + x2 = 0

Factor a trinomial.
(1 + -1x)(5 + -1x) = 0

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {1, 5}