4y^2+24y+45=0

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Solution for 4y^2+24y+45=0 equation:


Simplifying
4y2 + 24y + 45 = 0

Reorder the terms:
45 + 24y + 4y2 = 0

Solving
45 + 24y + 4y2 = 0

Solving for variable 'y'.

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

Divide each side by '4'.
11.25 + 6y + y2 = 0

Move the constant term to the right:

Add '-11.25' to each side of the equation.
11.25 + 6y + -11.25 + y2 = 0 + -11.25

Reorder the terms:
11.25 + -11.25 + 6y + y2 = 0 + -11.25

Combine like terms: 11.25 + -11.25 = 0.00
0.00 + 6y + y2 = 0 + -11.25
6y + y2 = 0 + -11.25

Combine like terms: 0 + -11.25 = -11.25
6y + y2 = -11.25

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

Add '9' to each side of the equation.
6y + 9 + y2 = -11.25 + 9

Reorder the terms:
9 + 6y + y2 = -11.25 + 9

Combine like terms: -11.25 + 9 = -2.25
9 + 6y + y2 = -2.25

Factor a perfect square on the left side:
(y + 3)(y + 3) = -2.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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