x^2+3x+11=0

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Solution for x^2+3x+11=0 equation:


Simplifying
x2 + 3x + 11 = 0

Reorder the terms:
11 + 3x + x2 = 0

Solving
11 + 3x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 3x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + 3x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3x + x2 = 0 + -11
3x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
3x + x2 = -11

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -11 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -11 + 2.25

Combine like terms: -11 + 2.25 = -8.75
2.25 + 3x + x2 = -8.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -8.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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