41x^2+1=8x

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Solution for 41x^2+1=8x equation:


Simplifying
41x2 + 1 = 8x

Reorder the terms:
1 + 41x2 = 8x

Solving
1 + 41x2 = 8x

Solving for variable 'x'.

Reorder the terms:
1 + -8x + 41x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
1 + -8x + 41x2 = 0

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

Divide each side by '41'.
0.0243902439 + -0.1951219512x + x2 = 0

Move the constant term to the right:

Add '-0.0243902439' to each side of the equation.
0.0243902439 + -0.1951219512x + -0.0243902439 + x2 = 0 + -0.0243902439

Reorder the terms:
0.0243902439 + -0.0243902439 + -0.1951219512x + x2 = 0 + -0.0243902439

Combine like terms: 0.0243902439 + -0.0243902439 = 0.0000000000
0.0000000000 + -0.1951219512x + x2 = 0 + -0.0243902439
-0.1951219512x + x2 = 0 + -0.0243902439

Combine like terms: 0 + -0.0243902439 = -0.0243902439
-0.1951219512x + x2 = -0.0243902439

The x term is -0.1951219512x.  Take half its coefficient (-0.0975609756).
Square it (0.009518143960) and add it to both sides.

Add '0.009518143960' to each side of the equation.
-0.1951219512x + 0.009518143960 + x2 = -0.0243902439 + 0.009518143960

Reorder the terms:
0.009518143960 + -0.1951219512x + x2 = -0.0243902439 + 0.009518143960

Combine like terms: -0.0243902439 + 0.009518143960 = -0.01487209994
0.009518143960 + -0.1951219512x + x2 = -0.01487209994

Factor a perfect square on the left side:
(x + -0.0975609756)(x + -0.0975609756) = -0.01487209994

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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