5x^2+9x=-20

Solution for 5x^2+9x=-20 equation:

Simplifying
5x2 + 9x = -20

Reorder the terms:
9x + 5x2 = -20

Solving
9x + 5x2 = -20

Solving for variable 'x'.

Reorder the terms:
20 + 9x + 5x2 = -20 + 20

Combine like terms: -20 + 20 = 0
20 + 9x + 5x2 = 0

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

Divide each side by '5'.
4 + 1.8x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 1.8x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 1.8x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 1.8x + x2 = 0 + -4
1.8x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
1.8x + x2 = -4

The x term is 1.8x.  Take half its coefficient (0.9).
Square it (0.81) and add it to both sides.

Add '0.81' to each side of the equation.
1.8x + 0.81 + x2 = -4 + 0.81

Reorder the terms:
0.81 + 1.8x + x2 = -4 + 0.81

Combine like terms: -4 + 0.81 = -3.19
0.81 + 1.8x + x2 = -3.19

Factor a perfect square on the left side:
(x + 0.9)(x + 0.9) = -3.19

Can't calculate square root of the right side.

The solution to this equation could not be determined.