3x^2+25x+60=0

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Solution for 3x^2+25x+60=0 equation:


Simplifying
3x2 + 25x + 60 = 0

Reorder the terms:
60 + 25x + 3x2 = 0

Solving
60 + 25x + 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'.
20 + 8.333333333x + x2 = 0

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + 8.333333333x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + 8.333333333x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 8.333333333x + x2 = 0 + -20
8.333333333x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
8.333333333x + x2 = -20

The x term is 8.333333333x.  Take half its coefficient (4.166666667).
Square it (17.36111111) and add it to both sides.

Add '17.36111111' to each side of the equation.
8.333333333x + 17.36111111 + x2 = -20 + 17.36111111

Reorder the terms:
17.36111111 + 8.333333333x + x2 = -20 + 17.36111111

Combine like terms: -20 + 17.36111111 = -2.63888889
17.36111111 + 8.333333333x + x2 = -2.63888889

Factor a perfect square on the left side:
(x + 4.166666667)(x + 4.166666667) = -2.63888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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