(x-6)2=2x^2-16x+39

Solution for (x-6)2=2x^2-16x+39 equation:

Simplifying
(x + -6) * 2 = 2x2 + -16x + 39

Reorder the terms:
(-6 + x) * 2 = 2x2 + -16x + 39

Reorder the terms for easier multiplication:
2(-6 + x) = 2x2 + -16x + 39
(-6 * 2 + x * 2) = 2x2 + -16x + 39
(-12 + 2x) = 2x2 + -16x + 39

Reorder the terms:
-12 + 2x = 39 + -16x + 2x2

Solving
-12 + 2x = 39 + -16x + 2x2

Solving for variable 'x'.

Reorder the terms:
-12 + -39 + 2x + 16x + -2x2 = 39 + -16x + 2x2 + -39 + 16x + -2x2

Combine like terms: -12 + -39 = -51
-51 + 2x + 16x + -2x2 = 39 + -16x + 2x2 + -39 + 16x + -2x2

Combine like terms: 2x + 16x = 18x
-51 + 18x + -2x2 = 39 + -16x + 2x2 + -39 + 16x + -2x2

Reorder the terms:
-51 + 18x + -2x2 = 39 + -39 + -16x + 16x + 2x2 + -2x2

Combine like terms: 39 + -39 = 0
-51 + 18x + -2x2 = 0 + -16x + 16x + 2x2 + -2x2
-51 + 18x + -2x2 = -16x + 16x + 2x2 + -2x2

Combine like terms: -16x + 16x = 0
-51 + 18x + -2x2 = 0 + 2x2 + -2x2
-51 + 18x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-51 + 18x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
25.5 + -9x + x2 = 0

Move the constant term to the right:

Add '-25.5' to each side of the equation.
25.5 + -9x + -25.5 + x2 = 0 + -25.5

Reorder the terms:
25.5 + -25.5 + -9x + x2 = 0 + -25.5

Combine like terms: 25.5 + -25.5 = 0.0
0.0 + -9x + x2 = 0 + -25.5
-9x + x2 = 0 + -25.5

Combine like terms: 0 + -25.5 = -25.5
-9x + x2 = -25.5

The x term is -9x.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9x + 20.25 + x2 = -25.5 + 20.25

Reorder the terms:
20.25 + -9x + x2 = -25.5 + 20.25

Combine like terms: -25.5 + 20.25 = -5.25
20.25 + -9x + x2 = -5.25

Factor a perfect square on the left side:
(x + -4.5)(x + -4.5) = -5.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.