4x^2-24x+36-x^2+12x+36=x

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Solution for 4x^2-24x+36-x^2+12x+36=x equation: 


Simplifying
4x2 + -24x + 36 + -1x2 + 12x + 36 = x

Reorder the terms:
36 + 36 + -24x + 12x + 4x2 + -1x2 = x

Combine like terms: 36 + 36 = 72
72 + -24x + 12x + 4x2 + -1x2 = x

Combine like terms: -24x + 12x = -12x
72 + -12x + 4x2 + -1x2 = x

Combine like terms: 4x2 + -1x2 = 3x2
72 + -12x + 3x2 = x

Solving
72 + -12x + 3x2 = x

Solving for variable 'x'.

Reorder the terms:
72 + -12x + -1x + 3x2 = x + -1x

Combine like terms: -12x + -1x = -13x
72 + -13x + 3x2 = x + -1x

Combine like terms: x + -1x = 0
72 + -13x + 3x2 = 0

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

Divide each side by '3'.
24 + -4.333333333x + x2 = 0

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + -4.333333333x + -24 + x2 = 0 + -24

Reorder the terms:
24 + -24 + -4.333333333x + x2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -4.333333333x + x2 = 0 + -24
-4.333333333x + x2 = 0 + -24

Combine like terms: 0 + -24 = -24
-4.333333333x + x2 = -24

The x term is -4.333333333x.  Take half its coefficient (-2.166666667).
Square it (4.694444446) and add it to both sides.

Add '4.694444446' to each side of the equation.
-4.333333333x + 4.694444446 + x2 = -24 + 4.694444446

Reorder the terms:
4.694444446 + -4.333333333x + x2 = -24 + 4.694444446

Combine like terms: -24 + 4.694444446 = -19.305555554
4.694444446 + -4.333333333x + x2 = -19.305555554

Factor a perfect square on the left side:
(x + -2.166666667)(x + -2.166666667) = -19.305555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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