5X^2+12X+58=0

Solution for 5X^2+12X+58=0 equation:

Simplifying
5X2 + 12X + 58 = 0

Reorder the terms:
58 + 12X + 5X2 = 0

Solving
58 + 12X + 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 + 2.4X + X2 = 0

Move the constant term to the right:

Add '-11.6' to each side of the equation.
11.6 + 2.4X + -11.6 + X2 = 0 + -11.6

Reorder the terms:
11.6 + -11.6 + 2.4X + X2 = 0 + -11.6

Combine like terms: 11.6 + -11.6 = 0.0
0.0 + 2.4X + X2 = 0 + -11.6
2.4X + X2 = 0 + -11.6

Combine like terms: 0 + -11.6 = -11.6
2.4X + X2 = -11.6

The X term is 2.4X.  Take half its coefficient (1.2).
Square it (1.44) and add it to both sides.

Add '1.44' to each side of the equation.
2.4X + 1.44 + X2 = -11.6 + 1.44

Reorder the terms:
1.44 + 2.4X + X2 = -11.6 + 1.44

Combine like terms: -11.6 + 1.44 = -10.16
1.44 + 2.4X + X2 = -10.16

Factor a perfect square on the left side:
(X + 1.2)(X + 1.2) = -10.16

Can't calculate square root of the right side.

The solution to this equation could not be determined.