5x^2+2x+11=

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Solution for 5x^2+2x+11= equation:


Simplifying
5x2 + 2x + 11 = 0

Reorder the terms:
11 + 2x + 5x2 = 0

Solving
11 + 2x + 5x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
2.2 + 0.4x + x2 = 0

Move the constant term to the right:

Add '-2.2' to each side of the equation.
2.2 + 0.4x + -2.2 + x2 = 0 + -2.2

Reorder the terms:
2.2 + -2.2 + 0.4x + x2 = 0 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + 0.4x + x2 = 0 + -2.2
0.4x + x2 = 0 + -2.2

Combine like terms: 0 + -2.2 = -2.2
0.4x + x2 = -2.2

The x term is 0.4x.  Take half its coefficient (0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
0.4x + 0.04 + x2 = -2.2 + 0.04

Reorder the terms:
0.04 + 0.4x + x2 = -2.2 + 0.04

Combine like terms: -2.2 + 0.04 = -2.16
0.04 + 0.4x + x2 = -2.16

Factor a perfect square on the left side:
(x + 0.2)(x + 0.2) = -2.16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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