0.12y(y-3)+0.18y=0.06y-0.03(40)

Solution for 0.12y(y-3)+0.18y=0.06y-0.03(40) equation:

Simplifying
0.12y(y + -3) + 0.18y = 0.06y + -0.03(40)

Reorder the terms:
0.12y(-3 + y) + 0.18y = 0.06y + -0.03(40)
(-3 * 0.12y + y * 0.12y) + 0.18y = 0.06y + -0.03(40)
(-0.36y + 0.12y2) + 0.18y = 0.06y + -0.03(40)

Reorder the terms:
-0.36y + 0.18y + 0.12y2 = 0.06y + -0.03(40)

Combine like terms: -0.36y + 0.18y = -0.18y
-0.18y + 0.12y2 = 0.06y + -0.03(40)

Multiply -0.03 * 40
-0.18y + 0.12y2 = 0.06y + -1.2

Reorder the terms:
-0.18y + 0.12y2 = -1.2 + 0.06y

Solving
-0.18y + 0.12y2 = -1.2 + 0.06y

Solving for variable 'y'.

Reorder the terms:
1.2 + -0.18y + -0.06y + 0.12y2 = -1.2 + 0.06y + 1.2 + -0.06y

Combine like terms: -0.18y + -0.06y = -0.24y
1.2 + -0.24y + 0.12y2 = -1.2 + 0.06y + 1.2 + -0.06y

Reorder the terms:
1.2 + -0.24y + 0.12y2 = -1.2 + 1.2 + 0.06y + -0.06y

Combine like terms: -1.2 + 1.2 = 0.0
1.2 + -0.24y + 0.12y2 = 0.0 + 0.06y + -0.06y
1.2 + -0.24y + 0.12y2 = 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
1.2 + -0.24y + 0.12y2 = 0.00

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

Divide each side by '0.12'.
10 + -2y + y2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -2y + -10 + y2 = 0 + -10

Reorder the terms:
10 + -10 + -2y + y2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -2y + y2 = 0 + -10
-2y + y2 = 0 + -10

Combine like terms: 0 + -10 = -10
-2y + y2 = -10

The y term is -2y.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2y + 1 + y2 = -10 + 1

Reorder the terms:
1 + -2y + y2 = -10 + 1

Combine like terms: -10 + 1 = -9
1 + -2y + y2 = -9

Factor a perfect square on the left side:
(y + -1)(y + -1) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.