46x^2-21x+5=0

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Solution for 46x^2-21x+5=0 equation:


Simplifying
46x2 + -21x + 5 = 0

Reorder the terms:
5 + -21x + 46x2 = 0

Solving
5 + -21x + 46x2 = 0

Solving for variable 'x'.

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

Divide each side by '46'.
0.1086956522 + -0.4565217391x + x2 = 0

Move the constant term to the right:

Add '-0.1086956522' to each side of the equation.
0.1086956522 + -0.4565217391x + -0.1086956522 + x2 = 0 + -0.1086956522

Reorder the terms:
0.1086956522 + -0.1086956522 + -0.4565217391x + x2 = 0 + -0.1086956522

Combine like terms: 0.1086956522 + -0.1086956522 = 0.0000000000
0.0000000000 + -0.4565217391x + x2 = 0 + -0.1086956522
-0.4565217391x + x2 = 0 + -0.1086956522

Combine like terms: 0 + -0.1086956522 = -0.1086956522
-0.4565217391x + x2 = -0.1086956522

The x term is -0.4565217391x.  Take half its coefficient (-0.2282608696).
Square it (0.05210302459) and add it to both sides.

Add '0.05210302459' to each side of the equation.
-0.4565217391x + 0.05210302459 + x2 = -0.1086956522 + 0.05210302459

Reorder the terms:
0.05210302459 + -0.4565217391x + x2 = -0.1086956522 + 0.05210302459

Combine like terms: -0.1086956522 + 0.05210302459 = -0.05659262761
0.05210302459 + -0.4565217391x + x2 = -0.05659262761

Factor a perfect square on the left side:
(x + -0.2282608696)(x + -0.2282608696) = -0.05659262761

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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