(x-3)2=(x+2)(x-2)

Solution for (x-3)2=(x+2)(x-2) equation:

Simplifying
(x + -3) * 2 = (x + 2)(x + -2)

Reorder the terms:
(-3 + x) * 2 = (x + 2)(x + -2)

Reorder the terms for easier multiplication:
2(-3 + x) = (x + 2)(x + -2)
(-3 * 2 + x * 2) = (x + 2)(x + -2)
(-6 + 2x) = (x + 2)(x + -2)

Reorder the terms:
-6 + 2x = (2 + x)(x + -2)

Reorder the terms:
-6 + 2x = (2 + x)(-2 + x)

Multiply (2 + x) * (-2 + x)
-6 + 2x = (2(-2 + x) + x(-2 + x))
-6 + 2x = ((-2 * 2 + x * 2) + x(-2 + x))
-6 + 2x = ((-4 + 2x) + x(-2 + x))
-6 + 2x = (-4 + 2x + (-2 * x + x * x))
-6 + 2x = (-4 + 2x + (-2x + x2))

Combine like terms: 2x + -2x = 0
-6 + 2x = (-4 + 0 + x2)
-6 + 2x = (-4 + x2)

Solving
-6 + 2x = -4 + x2

Solving for variable 'x'.

Reorder the terms:
-6 + 4 + 2x + -1x2 = -4 + x2 + 4 + -1x2

Combine like terms: -6 + 4 = -2
-2 + 2x + -1x2 = -4 + x2 + 4 + -1x2

Reorder the terms:
-2 + 2x + -1x2 = -4 + 4 + x2 + -1x2

Combine like terms: -4 + 4 = 0
-2 + 2x + -1x2 = 0 + x2 + -1x2
-2 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + 2x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
2 + -2x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -2x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2x + x2 = 0 + -2
-2x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2x + x2 = -2

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -2 + 1

Reorder the terms:
1 + -2x + x2 = -2 + 1

Combine like terms: -2 + 1 = -1
1 + -2x + x2 = -1

Factor a perfect square on the left side:
(x + -1)(x + -1) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.