x^2+11x+36=0

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Solution for x^2+11x+36=0 equation:


Simplifying
x2 + 11x + 36 = 0

Reorder the terms:
36 + 11x + x2 = 0

Solving
36 + 11x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + 11x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + 11x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 11x + x2 = 0 + -36
11x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
11x + x2 = -36

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 = -36 + 30.25

Reorder the terms:
30.25 + 11x + x2 = -36 + 30.25

Combine like terms: -36 + 30.25 = -5.75
30.25 + 11x + x2 = -5.75

Factor a perfect square on the left side:
(x + 5.5)(x + 5.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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