5x^2+17x+30=0

Solution for 5x^2+17x+30=0 equation:

Simplifying
5x2 + 17x + 30 = 0

Reorder the terms:
30 + 17x + 5x2 = 0

Solving
30 + 17x + 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'.
6 + 3.4x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 3.4x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 3.4x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3.4x + x2 = 0 + -6
3.4x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
3.4x + x2 = -6

The x term is 3.4x.  Take half its coefficient (1.7).
Square it (2.89) and add it to both sides.

Add '2.89' to each side of the equation.
3.4x + 2.89 + x2 = -6 + 2.89

Reorder the terms:
2.89 + 3.4x + x2 = -6 + 2.89

Combine like terms: -6 + 2.89 = -3.11
2.89 + 3.4x + x2 = -3.11

Factor a perfect square on the left side:
(x + 1.7)(x + 1.7) = -3.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.