(x^2)+11x+50=0

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Solution for (x^2)+11x+50=0 equation:


Simplifying
(x2) + 11x + 50 = 0
x2 + 11x + 50 = 0

Reorder the terms:
50 + 11x + x2 = 0

Solving
50 + 11x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + 11x + -50 + x2 = 0 + -50

Reorder the terms:
50 + -50 + 11x + x2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 11x + x2 = 0 + -50
11x + x2 = 0 + -50

Combine like terms: 0 + -50 = -50
11x + x2 = -50

The x term is 11x.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11x + 30.25 + x2 = -50 + 30.25

Reorder the terms:
30.25 + 11x + x2 = -50 + 30.25

Combine like terms: -50 + 30.25 = -19.75
30.25 + 11x + x2 = -19.75

Factor a perfect square on the left side:
(x + 5.5)(x + 5.5) = -19.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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