5x^2-2x+8=2x^2+1

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Solution for 5x^2-2x+8=2x^2+1 equation: 


Simplifying
5x2 + -2x + 8 = 2x2 + 1

Reorder the terms:
8 + -2x + 5x2 = 2x2 + 1

Reorder the terms:
8 + -2x + 5x2 = 1 + 2x2

Solving
8 + -2x + 5x2 = 1 + 2x2

Solving for variable 'x'.

Reorder the terms:
8 + -1 + -2x + 5x2 + -2x2 = 1 + 2x2 + -1 + -2x2

Combine like terms: 8 + -1 = 7
7 + -2x + 5x2 + -2x2 = 1 + 2x2 + -1 + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
7 + -2x + 3x2 = 1 + 2x2 + -1 + -2x2

Reorder the terms:
7 + -2x + 3x2 = 1 + -1 + 2x2 + -2x2

Combine like terms: 1 + -1 = 0
7 + -2x + 3x2 = 0 + 2x2 + -2x2
7 + -2x + 3x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
7 + -2x + 3x2 = 0

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

Divide each side by '3'.
2.333333333 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -0.6666666667x + -2.333333333 + x2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -0.6666666667x + x2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -0.6666666667x + x2 = 0 + -2.333333333
-0.6666666667x + x2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-0.6666666667x + x2 = -2.333333333

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -2.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -2.333333333 + 0.1111111112

Combine like terms: -2.333333333 + 0.1111111112 = -2.2222222218
0.1111111112 + -0.6666666667x + x2 = -2.2222222218

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -2.2222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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