x+5*x^2+10x+18=

Solution for x+5*x^2+10x+18= equation:

Simplifying
x + 5x2 + 10x + 18 = 0

Reorder the terms:
18 + x + 10x + 5x2 = 0

Combine like terms: x + 10x = 11x
18 + 11x + 5x2 = 0

Solving
18 + 11x + 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'.
3.6 + 2.2x + x2 = 0

Move the constant term to the right:

Add '-3.6' to each side of the equation.
3.6 + 2.2x + -3.6 + x2 = 0 + -3.6

Reorder the terms:
3.6 + -3.6 + 2.2x + x2 = 0 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 2.2x + x2 = 0 + -3.6
2.2x + x2 = 0 + -3.6

Combine like terms: 0 + -3.6 = -3.6
2.2x + x2 = -3.6

The x term is 2.2x.  Take half its coefficient (1.1).
Square it (1.21) and add it to both sides.

Add '1.21' to each side of the equation.
2.2x + 1.21 + x2 = -3.6 + 1.21

Reorder the terms:
1.21 + 2.2x + x2 = -3.6 + 1.21

Combine like terms: -3.6 + 1.21 = -2.39
1.21 + 2.2x + x2 = -2.39

Factor a perfect square on the left side:
(x + 1.1)(x + 1.1) = -2.39

Can't calculate square root of the right side.

The solution to this equation could not be determined.