7x^2+2x-9-13x^2=x

Solution for 7x^2+2x-9-13x^2=x equation:

Simplifying
7x2 + 2x + -9 + -13x2 = x

Reorder the terms:
-9 + 2x + 7x2 + -13x2 = x

Combine like terms: 7x2 + -13x2 = -6x2
-9 + 2x + -6x2 = x

Solving
-9 + 2x + -6x2 = x

Solving for variable 'x'.

Reorder the terms:
-9 + 2x + -1x + -6x2 = x + -1x

Combine like terms: 2x + -1x = 1x
-9 + 1x + -6x2 = x + -1x

Combine like terms: x + -1x = 0
-9 + 1x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
1.5 + -0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -0.1666666667x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -0.1666666667x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.1666666667x + x2 = 0 + -1.5
-0.1666666667x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-0.1666666667x + x2 = -1.5

The x term is -0.1666666667x.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667x + 0.006944444447 + x2 = -1.5 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667x + x2 = -1.5 + 0.006944444447

Combine like terms: -1.5 + 0.006944444447 = -1.493055555553
0.006944444447 + -0.1666666667x + x2 = -1.493055555553

Factor a perfect square on the left side:
(x + -0.08333333335)(x + -0.08333333335) = -1.493055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.