3x^2+10x+40=0

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Solution for 3x^2+10x+40=0 equation: 


Simplifying
3x2 + 10x + 40 = 0

Reorder the terms:
40 + 10x + 3x2 = 0

Solving
40 + 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'.
13.33333333 + 3.333333333x + x2 = 0

Move the constant term to the right:

Add '-13.33333333' to each side of the equation.
13.33333333 + 3.333333333x + -13.33333333 + x2 = 0 + -13.33333333

Reorder the terms:
13.33333333 + -13.33333333 + 3.333333333x + x2 = 0 + -13.33333333

Combine like terms: 13.33333333 + -13.33333333 = 0.00000000
0.00000000 + 3.333333333x + x2 = 0 + -13.33333333
3.333333333x + x2 = 0 + -13.33333333

Combine like terms: 0 + -13.33333333 = -13.33333333
3.333333333x + x2 = -13.33333333

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 = -13.33333333 + 2.777777779

Reorder the terms:
2.777777779 + 3.333333333x + x2 = -13.33333333 + 2.777777779

Combine like terms: -13.33333333 + 2.777777779 = -10.555555551
2.777777779 + 3.333333333x + x2 = -10.555555551

Factor a perfect square on the left side:
(x + 1.666666667)(x + 1.666666667) = -10.555555551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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