5y^2+24y+30=0

Solution for 5y^2+24y+30=0 equation:

Simplifying
5y2 + 24y + 30 = 0

Reorder the terms:
30 + 24y + 5y2 = 0

Solving
30 + 24y + 5y2 = 0

Solving for variable 'y'.

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

Divide each side by '5'.
6 + 4.8y + y2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 4.8y + -6 + y2 = 0 + -6

Reorder the terms:
6 + -6 + 4.8y + y2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 4.8y + y2 = 0 + -6
4.8y + y2 = 0 + -6

Combine like terms: 0 + -6 = -6
4.8y + y2 = -6

The y term is 4.8y.  Take half its coefficient (2.4).
Square it (5.76) and add it to both sides.

Add '5.76' to each side of the equation.
4.8y + 5.76 + y2 = -6 + 5.76

Reorder the terms:
5.76 + 4.8y + y2 = -6 + 5.76

Combine like terms: -6 + 5.76 = -0.24
5.76 + 4.8y + y2 = -0.24

Factor a perfect square on the left side:
(y + 2.4)(y + 2.4) = -0.24

Can't calculate square root of the right side.

The solution to this equation could not be determined.