x(x-2)=2(x-6)

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Solution for x(x-2)=2(x-6) equation:


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

Reorder the terms:
x(-2 + x) = 2(x + -6)
(-2 * x + x * x) = 2(x + -6)
(-2x + x2) = 2(x + -6)

Reorder the terms:
-2x + x2 = 2(-6 + x)
-2x + x2 = (-6 * 2 + x * 2)
-2x + x2 = (-12 + 2x)

Solving
-2x + x2 = -12 + 2x

Solving for variable 'x'.

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

Combine like terms: -2x + -2x = -4x
12 + -4x + x2 = -12 + 2x + 12 + -2x

Reorder the terms:
12 + -4x + x2 = -12 + 12 + 2x + -2x

Combine like terms: -12 + 12 = 0
12 + -4x + x2 = 0 + 2x + -2x
12 + -4x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -4x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + -4x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -4x + x2 = 0 + -12
-4x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-4x + x2 = -12

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -12 + 4

Reorder the terms:
4 + -4x + x2 = -12 + 4

Combine like terms: -12 + 4 = -8
4 + -4x + x2 = -8

Factor a perfect square on the left side:
(x + -2)(x + -2) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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