5y^2+24y+72=0

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Solution for 5y^2+24y+72=0 equation:


Simplifying
5y2 + 24y + 72 = 0

Reorder the terms:
72 + 24y + 5y2 = 0

Solving
72 + 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'.
14.4 + 4.8y + y2 = 0

Move the constant term to the right:

Add '-14.4' to each side of the equation.
14.4 + 4.8y + -14.4 + y2 = 0 + -14.4

Reorder the terms:
14.4 + -14.4 + 4.8y + y2 = 0 + -14.4

Combine like terms: 14.4 + -14.4 = 0.0
0.0 + 4.8y + y2 = 0 + -14.4
4.8y + y2 = 0 + -14.4

Combine like terms: 0 + -14.4 = -14.4
4.8y + y2 = -14.4

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 = -14.4 + 5.76

Reorder the terms:
5.76 + 4.8y + y2 = -14.4 + 5.76

Combine like terms: -14.4 + 5.76 = -8.64
5.76 + 4.8y + y2 = -8.64

Factor a perfect square on the left side:
(y + 2.4)(y + 2.4) = -8.64

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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