5y^2+16y+45=0

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Solution for 5y^2+16y+45=0 equation:


Simplifying
5y2 + 16y + 45 = 0

Reorder the terms:
45 + 16y + 5y2 = 0

Solving
45 + 16y + 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'.
9 + 3.2y + y2 = 0

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + 3.2y + -9 + y2 = 0 + -9

Reorder the terms:
9 + -9 + 3.2y + y2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 3.2y + y2 = 0 + -9
3.2y + y2 = 0 + -9

Combine like terms: 0 + -9 = -9
3.2y + y2 = -9

The y term is 3.2y.  Take half its coefficient (1.6).
Square it (2.56) and add it to both sides.

Add '2.56' to each side of the equation.
3.2y + 2.56 + y2 = -9 + 2.56

Reorder the terms:
2.56 + 3.2y + y2 = -9 + 2.56

Combine like terms: -9 + 2.56 = -6.44
2.56 + 3.2y + y2 = -6.44

Factor a perfect square on the left side:
(y + 1.6)(y + 1.6) = -6.44

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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