.02y(y-1)+.20y=.08y-.3

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Solution for .02y(y-1)+.20y=.08y-.3 equation: 


Simplifying
0.02y(y + -1) + 0.20y = 0.08y + -0.3

Reorder the terms:
0.02y(-1 + y) + 0.20y = 0.08y + -0.3
(-1 * 0.02y + y * 0.02y) + 0.20y = 0.08y + -0.3
(-0.02y + 0.02y2) + 0.20y = 0.08y + -0.3

Reorder the terms:
-0.02y + 0.20y + 0.02y2 = 0.08y + -0.3

Combine like terms: -0.02y + 0.20y = 0.18y
0.18y + 0.02y2 = 0.08y + -0.3

Reorder the terms:
0.18y + 0.02y2 = -0.3 + 0.08y

Solving
0.18y + 0.02y2 = -0.3 + 0.08y

Solving for variable 'y'.

Reorder the terms:
0.3 + 0.18y + -0.08y + 0.02y2 = -0.3 + 0.08y + 0.3 + -0.08y

Combine like terms: 0.18y + -0.08y = 0.1y
0.3 + 0.1y + 0.02y2 = -0.3 + 0.08y + 0.3 + -0.08y

Reorder the terms:
0.3 + 0.1y + 0.02y2 = -0.3 + 0.3 + 0.08y + -0.08y

Combine like terms: -0.3 + 0.3 = 0.0
0.3 + 0.1y + 0.02y2 = 0.0 + 0.08y + -0.08y
0.3 + 0.1y + 0.02y2 = 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
0.3 + 0.1y + 0.02y2 = 0.00

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

Divide each side by '0.02'.
15 + 5y + y2 = 0

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + 5y + -15 + y2 = 0 + -15

Reorder the terms:
15 + -15 + 5y + y2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 5y + y2 = 0 + -15
5y + y2 = 0 + -15

Combine like terms: 0 + -15 = -15
5y + y2 = -15

The y term is 5y.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5y + 6.25 + y2 = -15 + 6.25

Reorder the terms:
6.25 + 5y + y2 = -15 + 6.25

Combine like terms: -15 + 6.25 = -8.75
6.25 + 5y + y2 = -8.75

Factor a perfect square on the left side:
(y + 2.5)(y + 2.5) = -8.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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