3946x^2+5551x=-5884

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Solution for 3946x^2+5551x=-5884 equation:


Simplifying
3946x2 + 5551x = -5884

Reorder the terms:
5551x + 3946x2 = -5884

Solving
5551x + 3946x2 = -5884

Solving for variable 'x'.

Reorder the terms:
5884 + 5551x + 3946x2 = -5884 + 5884

Combine like terms: -5884 + 5884 = 0
5884 + 5551x + 3946x2 = 0

Begin completing the square.  Divide all terms by
3946 the coefficient of the squared term: 

Divide each side by '3946'.
1.491130258 + 1.406741004x + x2 = 0

Move the constant term to the right:

Add '-1.491130258' to each side of the equation.
1.491130258 + 1.406741004x + -1.491130258 + x2 = 0 + -1.491130258

Reorder the terms:
1.491130258 + -1.491130258 + 1.406741004x + x2 = 0 + -1.491130258

Combine like terms: 1.491130258 + -1.491130258 = 0.000000000
0.000000000 + 1.406741004x + x2 = 0 + -1.491130258
1.406741004x + x2 = 0 + -1.491130258

Combine like terms: 0 + -1.491130258 = -1.491130258
1.406741004x + x2 = -1.491130258

The x term is 1.406741004x.  Take half its coefficient (0.703370502).
Square it (0.4947300631) and add it to both sides.

Add '0.4947300631' to each side of the equation.
1.406741004x + 0.4947300631 + x2 = -1.491130258 + 0.4947300631

Reorder the terms:
0.4947300631 + 1.406741004x + x2 = -1.491130258 + 0.4947300631

Combine like terms: -1.491130258 + 0.4947300631 = -0.9964001949
0.4947300631 + 1.406741004x + x2 = -0.9964001949

Factor a perfect square on the left side:
(x + 0.703370502)(x + 0.703370502) = -0.9964001949

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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