52x^2+7x+4=0

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Solution for 52x^2+7x+4=0 equation:


Simplifying
52x2 + 7x + 4 = 0

Reorder the terms:
4 + 7x + 52x2 = 0

Solving
4 + 7x + 52x2 = 0

Solving for variable 'x'.

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

Divide each side by '52'.
0.07692307692 + 0.1346153846x + x2 = 0

Move the constant term to the right:

Add '-0.07692307692' to each side of the equation.
0.07692307692 + 0.1346153846x + -0.07692307692 + x2 = 0 + -0.07692307692

Reorder the terms:
0.07692307692 + -0.07692307692 + 0.1346153846x + x2 = 0 + -0.07692307692

Combine like terms: 0.07692307692 + -0.07692307692 = 0.00000000000
0.00000000000 + 0.1346153846x + x2 = 0 + -0.07692307692
0.1346153846x + x2 = 0 + -0.07692307692

Combine like terms: 0 + -0.07692307692 = -0.07692307692
0.1346153846x + x2 = -0.07692307692

The x term is 0.1346153846x.  Take half its coefficient (0.0673076923).
Square it (0.004530325443) and add it to both sides.

Add '0.004530325443' to each side of the equation.
0.1346153846x + 0.004530325443 + x2 = -0.07692307692 + 0.004530325443

Reorder the terms:
0.004530325443 + 0.1346153846x + x2 = -0.07692307692 + 0.004530325443

Combine like terms: -0.07692307692 + 0.004530325443 = -0.072392751477
0.004530325443 + 0.1346153846x + x2 = -0.072392751477

Factor a perfect square on the left side:
(x + 0.0673076923)(x + 0.0673076923) = -0.072392751477

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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