3x^2+16x+50=0

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Solution for 3x^2+16x+50=0 equation: 


Simplifying
3x2 + 16x + 50 = 0

Reorder the terms:
50 + 16x + 3x2 = 0

Solving
50 + 16x + 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'.
16.66666667 + 5.333333333x + x2 = 0

Move the constant term to the right:

Add '-16.66666667' to each side of the equation.
16.66666667 + 5.333333333x + -16.66666667 + x2 = 0 + -16.66666667

Reorder the terms:
16.66666667 + -16.66666667 + 5.333333333x + x2 = 0 + -16.66666667

Combine like terms: 16.66666667 + -16.66666667 = 0.00000000
0.00000000 + 5.333333333x + x2 = 0 + -16.66666667
5.333333333x + x2 = 0 + -16.66666667

Combine like terms: 0 + -16.66666667 = -16.66666667
5.333333333x + x2 = -16.66666667

The x term is 5.333333333x.  Take half its coefficient (2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
5.333333333x + 7.111111113 + x2 = -16.66666667 + 7.111111113

Reorder the terms:
7.111111113 + 5.333333333x + x2 = -16.66666667 + 7.111111113

Combine like terms: -16.66666667 + 7.111111113 = -9.555555557
7.111111113 + 5.333333333x + x2 = -9.555555557

Factor a perfect square on the left side:
(x + 2.666666667)(x + 2.666666667) = -9.555555557

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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