(x-6)2=(x+3)*(x-3)

Solution for (x-6)2=(x+3)*(x-3) equation:

Simplifying
(x + -6) * 2 = (x + 3)(x + -3)

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

Reorder the terms for easier multiplication:
2(-6 + x) = (x + 3)(x + -3)
(-6 * 2 + x * 2) = (x + 3)(x + -3)
(-12 + 2x) = (x + 3)(x + -3)

Reorder the terms:
-12 + 2x = (3 + x)(x + -3)

Reorder the terms:
-12 + 2x = (3 + x)(-3 + x)

Multiply (3 + x) * (-3 + x)
-12 + 2x = (3(-3 + x) + x(-3 + x))
-12 + 2x = ((-3 * 3 + x * 3) + x(-3 + x))
-12 + 2x = ((-9 + 3x) + x(-3 + x))
-12 + 2x = (-9 + 3x + (-3 * x + x * x))
-12 + 2x = (-9 + 3x + (-3x + x2))

Combine like terms: 3x + -3x = 0
-12 + 2x = (-9 + 0 + x2)
-12 + 2x = (-9 + x2)

Solving
-12 + 2x = -9 + x2

Solving for variable 'x'.

Reorder the terms:
-12 + 9 + 2x + -1x2 = -9 + x2 + 9 + -1x2

Combine like terms: -12 + 9 = -3
-3 + 2x + -1x2 = -9 + x2 + 9 + -1x2

Reorder the terms:
-3 + 2x + -1x2 = -9 + 9 + x2 + -1x2

Combine like terms: -9 + 9 = 0
-3 + 2x + -1x2 = 0 + x2 + -1x2
-3 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 2x + -1x2 = 0

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

Divide each side by '-1'.
3 + -2x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -2x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x + x2 = 0 + -3
-2x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2x + x2 = -3

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 = -3 + 1

Reorder the terms:
1 + -2x + x2 = -3 + 1

Combine like terms: -3 + 1 = -2
1 + -2x + x2 = -2

Factor a perfect square on the left side:
(x + -1)(x + -1) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.