x^2+5x+120=0

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Solution for x^2+5x+120=0 equation: 


Simplifying
x2 + 5x + 120 = 0

Reorder the terms:
120 + 5x + x2 = 0

Solving
120 + 5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-120' to each side of the equation.
120 + 5x + -120 + x2 = 0 + -120

Reorder the terms:
120 + -120 + 5x + x2 = 0 + -120

Combine like terms: 120 + -120 = 0
0 + 5x + x2 = 0 + -120
5x + x2 = 0 + -120

Combine like terms: 0 + -120 = -120
5x + x2 = -120

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = -120 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -120 + 6.25

Combine like terms: -120 + 6.25 = -113.75
6.25 + 5x + x2 = -113.75

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = -113.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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