.18y(y-3)+.08=.10-.9

Solution for .18y(y-3)+.08=.10-.9 equation:

Simplifying
0.18y(y + -3) + 0.08 = 0.10 + -0.9

Reorder the terms:
0.18y(-3 + y) + 0.08 = 0.10 + -0.9
(-3 * 0.18y + y * 0.18y) + 0.08 = 0.10 + -0.9
(-0.54y + 0.18y2) + 0.08 = 0.10 + -0.9

Reorder the terms:
0.08 + -0.54y + 0.18y2 = 0.10 + -0.9

Combine like terms: 0.10 + -0.9 = -0.8
0.08 + -0.54y + 0.18y2 = -0.8

Solving
0.08 + -0.54y + 0.18y2 = -0.8

Solving for variable 'y'.

Reorder the terms:
0.08 + 0.8 + -0.54y + 0.18y2 = -0.8 + 0.8

Combine like terms: 0.08 + 0.8 = 0.88
0.88 + -0.54y + 0.18y2 = -0.8 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.88 + -0.54y + 0.18y2 = 0.0

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

Divide each side by '0.18'.
4.888888889 + -3y + y2 = 0

Move the constant term to the right:

Add '-4.888888889' to each side of the equation.
4.888888889 + -3y + -4.888888889 + y2 = 0 + -4.888888889

Reorder the terms:
4.888888889 + -4.888888889 + -3y + y2 = 0 + -4.888888889

Combine like terms: 4.888888889 + -4.888888889 = 0.000000000
0.000000000 + -3y + y2 = 0 + -4.888888889
-3y + y2 = 0 + -4.888888889

Combine like terms: 0 + -4.888888889 = -4.888888889
-3y + y2 = -4.888888889

The y term is -3y.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3y + 2.25 + y2 = -4.888888889 + 2.25

Reorder the terms:
2.25 + -3y + y2 = -4.888888889 + 2.25

Combine like terms: -4.888888889 + 2.25 = -2.638888889
2.25 + -3y + y2 = -2.638888889

Factor a perfect square on the left side:
(y + -1.5)(y + -1.5) = -2.638888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.