58x^2+1=14x

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Solution for 58x^2+1=14x equation:


Simplifying
58x2 + 1 = 14x

Reorder the terms:
1 + 58x2 = 14x

Solving
1 + 58x2 = 14x

Solving for variable 'x'.

Reorder the terms:
1 + -14x + 58x2 = 14x + -14x

Combine like terms: 14x + -14x = 0
1 + -14x + 58x2 = 0

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

Divide each side by '58'.
0.01724137931 + -0.2413793103x + x2 = 0

Move the constant term to the right:

Add '-0.01724137931' to each side of the equation.
0.01724137931 + -0.2413793103x + -0.01724137931 + x2 = 0 + -0.01724137931

Reorder the terms:
0.01724137931 + -0.01724137931 + -0.2413793103x + x2 = 0 + -0.01724137931

Combine like terms: 0.01724137931 + -0.01724137931 = 0.00000000000
0.00000000000 + -0.2413793103x + x2 = 0 + -0.01724137931
-0.2413793103x + x2 = 0 + -0.01724137931

Combine like terms: 0 + -0.01724137931 = -0.01724137931
-0.2413793103x + x2 = -0.01724137931

The x term is -0.2413793103x.  Take half its coefficient (-0.1206896552).
Square it (0.01456599287) and add it to both sides.

Add '0.01456599287' to each side of the equation.
-0.2413793103x + 0.01456599287 + x2 = -0.01724137931 + 0.01456599287

Reorder the terms:
0.01456599287 + -0.2413793103x + x2 = -0.01724137931 + 0.01456599287

Combine like terms: -0.01724137931 + 0.01456599287 = -0.00267538644
0.01456599287 + -0.2413793103x + x2 = -0.00267538644

Factor a perfect square on the left side:
(x + -0.1206896552)(x + -0.1206896552) = -0.00267538644

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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