3x^2+50x+215=0

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Solution for 3x^2+50x+215=0 equation:


Simplifying
3x2 + 50x + 215 = 0

Reorder the terms:
215 + 50x + 3x2 = 0

Solving
215 + 50x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
71.66666667 + 16.66666667x + x2 = 0

Move the constant term to the right:

Add '-71.66666667' to each side of the equation.
71.66666667 + 16.66666667x + -71.66666667 + x2 = 0 + -71.66666667

Reorder the terms:
71.66666667 + -71.66666667 + 16.66666667x + x2 = 0 + -71.66666667

Combine like terms: 71.66666667 + -71.66666667 = 0.00000000
0.00000000 + 16.66666667x + x2 = 0 + -71.66666667
16.66666667x + x2 = 0 + -71.66666667

Combine like terms: 0 + -71.66666667 = -71.66666667
16.66666667x + x2 = -71.66666667

The x term is 16.66666667x.  Take half its coefficient (8.333333335).
Square it (69.44444447) and add it to both sides.

Add '69.44444447' to each side of the equation.
16.66666667x + 69.44444447 + x2 = -71.66666667 + 69.44444447

Reorder the terms:
69.44444447 + 16.66666667x + x2 = -71.66666667 + 69.44444447

Combine like terms: -71.66666667 + 69.44444447 = -2.2222222
69.44444447 + 16.66666667x + x2 = -2.2222222

Factor a perfect square on the left side:
(x + 8.333333335)(x + 8.333333335) = -2.2222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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