4.9x^2-2.5x+53=0

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Solution for 4.9x^2-2.5x+53=0 equation: 


Simplifying
4.9x2 + -2.5x + 53 = 0

Reorder the terms:
53 + -2.5x + 4.9x2 = 0

Solving
53 + -2.5x + 4.9x2 = 0

Solving for variable 'x'.

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

Divide each side by '4.9'.
10.81632653 + -0.5102040816x + x2 = 0

Move the constant term to the right:

Add '-10.81632653' to each side of the equation.
10.81632653 + -0.5102040816x + -10.81632653 + x2 = 0 + -10.81632653

Reorder the terms:
10.81632653 + -10.81632653 + -0.5102040816x + x2 = 0 + -10.81632653

Combine like terms: 10.81632653 + -10.81632653 = 0.00000000
0.00000000 + -0.5102040816x + x2 = 0 + -10.81632653
-0.5102040816x + x2 = 0 + -10.81632653

Combine like terms: 0 + -10.81632653 = -10.81632653
-0.5102040816x + x2 = -10.81632653

The x term is -0.5102040816x.  Take half its coefficient (-0.2551020408).
Square it (0.06507705122) and add it to both sides.

Add '0.06507705122' to each side of the equation.
-0.5102040816x + 0.06507705122 + x2 = -10.81632653 + 0.06507705122

Reorder the terms:
0.06507705122 + -0.5102040816x + x2 = -10.81632653 + 0.06507705122

Combine like terms: -10.81632653 + 0.06507705122 = -10.75124947878
0.06507705122 + -0.5102040816x + x2 = -10.75124947878

Factor a perfect square on the left side:
(x + -0.2551020408)(x + -0.2551020408) = -10.75124947878

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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