x^2-6x+10*x^2-6x+5=0

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Solution for x^2-6x+10*x^2-6x+5=0 equation: 


Simplifying
x2 + -6x + 10x2 + -6x + 5 = 0

Reorder the terms:
5 + -6x + -6x + x2 + 10x2 = 0

Combine like terms: -6x + -6x = -12x
5 + -12x + x2 + 10x2 = 0

Combine like terms: x2 + 10x2 = 11x2
5 + -12x + 11x2 = 0

Solving
5 + -12x + 11x2 = 0

Solving for variable 'x'.

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

Divide each side by '11'.
0.4545454545 + -1.090909091x + x2 = 0

Move the constant term to the right:

Add '-0.4545454545' to each side of the equation.
0.4545454545 + -1.090909091x + -0.4545454545 + x2 = 0 + -0.4545454545

Reorder the terms:
0.4545454545 + -0.4545454545 + -1.090909091x + x2 = 0 + -0.4545454545

Combine like terms: 0.4545454545 + -0.4545454545 = 0.0000000000
0.0000000000 + -1.090909091x + x2 = 0 + -0.4545454545
-1.090909091x + x2 = 0 + -0.4545454545

Combine like terms: 0 + -0.4545454545 = -0.4545454545
-1.090909091x + x2 = -0.4545454545

The x term is -1.090909091x.  Take half its coefficient (-0.5454545455).
Square it (0.2975206612) and add it to both sides.

Add '0.2975206612' to each side of the equation.
-1.090909091x + 0.2975206612 + x2 = -0.4545454545 + 0.2975206612

Reorder the terms:
0.2975206612 + -1.090909091x + x2 = -0.4545454545 + 0.2975206612

Combine like terms: -0.4545454545 + 0.2975206612 = -0.1570247933
0.2975206612 + -1.090909091x + x2 = -0.1570247933

Factor a perfect square on the left side:
(x + -0.5454545455)(x + -0.5454545455) = -0.1570247933

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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