5x^2+30x+58=0

Solution for 5x^2+30x+58=0 equation:

Simplifying
5x2 + 30x + 58 = 0

Reorder the terms:
58 + 30x + 5x2 = 0

Solving
58 + 30x + 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'.
11.6 + 6x + x2 = 0

Move the constant term to the right:

Add '-11.6' to each side of the equation.
11.6 + 6x + -11.6 + x2 = 0 + -11.6

Reorder the terms:
11.6 + -11.6 + 6x + x2 = 0 + -11.6

Combine like terms: 11.6 + -11.6 = 0.0
0.0 + 6x + x2 = 0 + -11.6
6x + x2 = 0 + -11.6

Combine like terms: 0 + -11.6 = -11.6
6x + x2 = -11.6

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -11.6 + 9

Reorder the terms:
9 + 6x + x2 = -11.6 + 9

Combine like terms: -11.6 + 9 = -2.6
9 + 6x + x2 = -2.6

Factor a perfect square on the left side:
(x + 3)(x + 3) = -2.6

Can't calculate square root of the right side.

The solution to this equation could not be determined.