0.5x(x)+2x+5=0

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Solution for 0.5x(x)+2x+5=0 equation:


Simplifying
0.5x(x) + 2x + 5 = 0

Multiply x * x
0.5x2 + 2x + 5 = 0

Reorder the terms:
5 + 2x + 0.5x2 = 0

Solving
5 + 2x + 0.5x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.5'.
10 + 4x + x2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 4x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + 4x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 4x + x2 = 0 + -10
4x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
4x + x2 = -10

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -10 + 4

Reorder the terms:
4 + 4x + x2 = -10 + 4

Combine like terms: -10 + 4 = -6
4 + 4x + x2 = -6

Factor a perfect square on the left side:
(x + 2)(x + 2) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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