10x^2+x+1=8x-1

Solution for 10x^2+x+1=8x-1 equation:

Simplifying
10x2 + x + 1 = 8x + -1

Reorder the terms:
1 + x + 10x2 = 8x + -1

Reorder the terms:
1 + x + 10x2 = -1 + 8x

Solving
1 + x + 10x2 = -1 + 8x

Solving for variable 'x'.

Reorder the terms:
1 + 1 + x + -8x + 10x2 = -1 + 8x + 1 + -8x

Combine like terms: 1 + 1 = 2
2 + x + -8x + 10x2 = -1 + 8x + 1 + -8x

Combine like terms: x + -8x = -7x
2 + -7x + 10x2 = -1 + 8x + 1 + -8x

Reorder the terms:
2 + -7x + 10x2 = -1 + 1 + 8x + -8x

Combine like terms: -1 + 1 = 0
2 + -7x + 10x2 = 0 + 8x + -8x
2 + -7x + 10x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -7x + 10x2 = 0

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

Divide each side by '10'.
0.2 + -0.7x + x2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -0.7x + -0.2 + x2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -0.7x + x2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.7x + x2 = 0 + -0.2
-0.7x + x2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.7x + x2 = -0.2

The x term is -0.7x.  Take half its coefficient (-0.35).
Square it (0.1225) and add it to both sides.

Add '0.1225' to each side of the equation.
-0.7x + 0.1225 + x2 = -0.2 + 0.1225

Reorder the terms:
0.1225 + -0.7x + x2 = -0.2 + 0.1225

Combine like terms: -0.2 + 0.1225 = -0.0775
0.1225 + -0.7x + x2 = -0.0775

Factor a perfect square on the left side:
(x + -0.35)(x + -0.35) = -0.0775

Can't calculate square root of the right side.

The solution to this equation could not be determined.