2527X^2+5313X+5341=0

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Solution for 2527X^2+5313X+5341=0 equation: 


Simplifying
2527X2 + 5313X + 5341 = 0

Reorder the terms:
5341 + 5313X + 2527X2 = 0

Solving
5341 + 5313X + 2527X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '7'.
7(763 + 759X + 361X2) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(763 + 759X + 361X2)' equal to zero and attempt to solve:

Simplifying
763 + 759X + 361X2 = 0

Solving
763 + 759X + 361X2 = 0

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

Divide each side by '361'.
2.113573407 + 2.102493075X + X2 = 0

Move the constant term to the right:

Add '-2.113573407' to each side of the equation.
2.113573407 + 2.102493075X + -2.113573407 + X2 = 0 + -2.113573407

Reorder the terms:
2.113573407 + -2.113573407 + 2.102493075X + X2 = 0 + -2.113573407

Combine like terms: 2.113573407 + -2.113573407 = 0.000000000
0.000000000 + 2.102493075X + X2 = 0 + -2.113573407
2.102493075X + X2 = 0 + -2.113573407

Combine like terms: 0 + -2.113573407 = -2.113573407
2.102493075X + X2 = -2.113573407

The X term is 2.102493075X.  Take half its coefficient (1.051246538).
Square it (1.105119284) and add it to both sides.

Add '1.105119284' to each side of the equation.
2.102493075X + 1.105119284 + X2 = -2.113573407 + 1.105119284

Reorder the terms:
1.105119284 + 2.102493075X + X2 = -2.113573407 + 1.105119284

Combine like terms: -2.113573407 + 1.105119284 = -1.008454123
1.105119284 + 2.102493075X + X2 = -1.008454123

Factor a perfect square on the left side:
(X + 1.051246538)(X + 1.051246538) = -1.008454123

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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