4x^2+20x+25=-20

Solution for 4x^2+20x+25=-20 equation:

Simplifying
4x2 + 20x + 25 = -20

Reorder the terms:
25 + 20x + 4x2 = -20

Solving
25 + 20x + 4x2 = -20

Solving for variable 'x'.

Reorder the terms:
25 + 20 + 20x + 4x2 = -20 + 20

Combine like terms: 25 + 20 = 45
45 + 20x + 4x2 = -20 + 20

Combine like terms: -20 + 20 = 0
45 + 20x + 4x2 = 0

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

Divide each side by '4'.
11.25 + 5x + x2 = 0

Move the constant term to the right:

Add '-11.25' to each side of the equation.
11.25 + 5x + -11.25 + x2 = 0 + -11.25

Reorder the terms:
11.25 + -11.25 + 5x + x2 = 0 + -11.25

Combine like terms: 11.25 + -11.25 = 0.00
0.00 + 5x + x2 = 0 + -11.25
5x + x2 = 0 + -11.25

Combine like terms: 0 + -11.25 = -11.25
5x + x2 = -11.25

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = -11.25 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -11.25 + 6.25

Combine like terms: -11.25 + 6.25 = -5
6.25 + 5x + x2 = -5

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.