3x^2+10x+77=0

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Solution for 3x^2+10x+77=0 equation:


Simplifying
3x2 + 10x + 77 = 0

Reorder the terms:
77 + 10x + 3x2 = 0

Solving
77 + 10x + 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'.
25.66666667 + 3.333333333x + x2 = 0

Move the constant term to the right:

Add '-25.66666667' to each side of the equation.
25.66666667 + 3.333333333x + -25.66666667 + x2 = 0 + -25.66666667

Reorder the terms:
25.66666667 + -25.66666667 + 3.333333333x + x2 = 0 + -25.66666667

Combine like terms: 25.66666667 + -25.66666667 = 0.00000000
0.00000000 + 3.333333333x + x2 = 0 + -25.66666667
3.333333333x + x2 = 0 + -25.66666667

Combine like terms: 0 + -25.66666667 = -25.66666667
3.333333333x + x2 = -25.66666667

The x term is 3.333333333x.  Take half its coefficient (1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
3.333333333x + 2.777777779 + x2 = -25.66666667 + 2.777777779

Reorder the terms:
2.777777779 + 3.333333333x + x2 = -25.66666667 + 2.777777779

Combine like terms: -25.66666667 + 2.777777779 = -22.888888891
2.777777779 + 3.333333333x + x2 = -22.888888891

Factor a perfect square on the left side:
(x + 1.666666667)(x + 1.666666667) = -22.888888891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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