9x^2+1=2x

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Solution for 9x^2+1=2x equation:


Simplifying
9x2 + 1 = 2x

Reorder the terms:
1 + 9x2 = 2x

Solving
1 + 9x2 = 2x

Solving for variable 'x'.

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

Combine like terms: 2x + -2x = 0
1 + -2x + 9x2 = 0

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

Divide each side by '9'.
0.1111111111 + -0.2222222222x + x2 = 0

Move the constant term to the right:

Add '-0.1111111111' to each side of the equation.
0.1111111111 + -0.2222222222x + -0.1111111111 + x2 = 0 + -0.1111111111

Reorder the terms:
0.1111111111 + -0.1111111111 + -0.2222222222x + x2 = 0 + -0.1111111111

Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000
0.0000000000 + -0.2222222222x + x2 = 0 + -0.1111111111
-0.2222222222x + x2 = 0 + -0.1111111111

Combine like terms: 0 + -0.1111111111 = -0.1111111111
-0.2222222222x + x2 = -0.1111111111

The x term is -0.2222222222x.  Take half its coefficient (-0.1111111111).
Square it (0.01234567901) and add it to both sides.

Add '0.01234567901' to each side of the equation.
-0.2222222222x + 0.01234567901 + x2 = -0.1111111111 + 0.01234567901

Reorder the terms:
0.01234567901 + -0.2222222222x + x2 = -0.1111111111 + 0.01234567901

Combine like terms: -0.1111111111 + 0.01234567901 = -0.09876543209
0.01234567901 + -0.2222222222x + x2 = -0.09876543209

Factor a perfect square on the left side:
(x + -0.1111111111)(x + -0.1111111111) = -0.09876543209

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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