x-2=5x^2-8x+6

Solution for x-2=5x^2-8x+6 equation:

Simplifying
x + -2 = 5x2 + -8x + 6

Reorder the terms:
-2 + x = 5x2 + -8x + 6

Reorder the terms:
-2 + x = 6 + -8x + 5x2

Solving
-2 + x = 6 + -8x + 5x2

Solving for variable 'x'.

Reorder the terms:
-2 + -6 + x + 8x + -5x2 = 6 + -8x + 5x2 + -6 + 8x + -5x2

Combine like terms: -2 + -6 = -8
-8 + x + 8x + -5x2 = 6 + -8x + 5x2 + -6 + 8x + -5x2

Combine like terms: x + 8x = 9x
-8 + 9x + -5x2 = 6 + -8x + 5x2 + -6 + 8x + -5x2

Reorder the terms:
-8 + 9x + -5x2 = 6 + -6 + -8x + 8x + 5x2 + -5x2

Combine like terms: 6 + -6 = 0
-8 + 9x + -5x2 = 0 + -8x + 8x + 5x2 + -5x2
-8 + 9x + -5x2 = -8x + 8x + 5x2 + -5x2

Combine like terms: -8x + 8x = 0
-8 + 9x + -5x2 = 0 + 5x2 + -5x2
-8 + 9x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-8 + 9x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
1.6 + -1.8x + x2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + -1.8x + -1.6 + x2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + -1.8x + x2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -1.8x + x2 = 0 + -1.6
-1.8x + x2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
-1.8x + x2 = -1.6

The x term is -1.8x.  Take half its coefficient (-0.9).
Square it (0.81) and add it to both sides.

Add '0.81' to each side of the equation.
-1.8x + 0.81 + x2 = -1.6 + 0.81

Reorder the terms:
0.81 + -1.8x + x2 = -1.6 + 0.81

Combine like terms: -1.6 + 0.81 = -0.79
0.81 + -1.8x + x2 = -0.79

Factor a perfect square on the left side:
(x + -0.9)(x + -0.9) = -0.79

Can't calculate square root of the right side.

The solution to this equation could not be determined.