x^2-10x+27=20-6x^2-4x

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Solution for x^2-10x+27=20-6x^2-4x equation: 


Simplifying
x2 + -10x + 27 = 20 + -6x2 + -4x

Reorder the terms:
27 + -10x + x2 = 20 + -6x2 + -4x

Reorder the terms:
27 + -10x + x2 = 20 + -4x + -6x2

Solving
27 + -10x + x2 = 20 + -4x + -6x2

Solving for variable 'x'.

Reorder the terms:
27 + -20 + -10x + 4x + x2 + 6x2 = 20 + -4x + -6x2 + -20 + 4x + 6x2

Combine like terms: 27 + -20 = 7
7 + -10x + 4x + x2 + 6x2 = 20 + -4x + -6x2 + -20 + 4x + 6x2

Combine like terms: -10x + 4x = -6x
7 + -6x + x2 + 6x2 = 20 + -4x + -6x2 + -20 + 4x + 6x2

Combine like terms: x2 + 6x2 = 7x2
7 + -6x + 7x2 = 20 + -4x + -6x2 + -20 + 4x + 6x2

Reorder the terms:
7 + -6x + 7x2 = 20 + -20 + -4x + 4x + -6x2 + 6x2

Combine like terms: 20 + -20 = 0
7 + -6x + 7x2 = 0 + -4x + 4x + -6x2 + 6x2
7 + -6x + 7x2 = -4x + 4x + -6x2 + 6x2

Combine like terms: -4x + 4x = 0
7 + -6x + 7x2 = 0 + -6x2 + 6x2
7 + -6x + 7x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
7 + -6x + 7x2 = 0

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

Divide each side by '7'.
1 + -0.8571428571x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.8571428571x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.8571428571x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.8571428571x + x2 = 0 + -1
-0.8571428571x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.8571428571x + x2 = -1

The x term is -0.8571428571x.  Take half its coefficient (-0.4285714286).
Square it (0.1836734694) and add it to both sides.

Add '0.1836734694' to each side of the equation.
-0.8571428571x + 0.1836734694 + x2 = -1 + 0.1836734694

Reorder the terms:
0.1836734694 + -0.8571428571x + x2 = -1 + 0.1836734694

Combine like terms: -1 + 0.1836734694 = -0.8163265306
0.1836734694 + -0.8571428571x + x2 = -0.8163265306

Factor a perfect square on the left side:
(x + -0.4285714286)(x + -0.4285714286) = -0.8163265306

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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