0.04y(y-5)+0.20y=0.14y-0.01(40)

Solution for 0.04y(y-5)+0.20y=0.14y-0.01(40) equation:

Simplifying
0.04y(y + -5) + 0.20y = 0.14y + -0.01(40)

Reorder the terms:
0.04y(-5 + y) + 0.20y = 0.14y + -0.01(40)
(-5 * 0.04y + y * 0.04y) + 0.20y = 0.14y + -0.01(40)
(-0.2y + 0.04y2) + 0.20y = 0.14y + -0.01(40)

Reorder the terms:
-0.2y + 0.20y + 0.04y2 = 0.14y + -0.01(40)

Combine like terms: -0.2y + 0.20y = 0.00
0.00 + 0.04y2 = 0.14y + -0.01(40)
0.04y2 = 0.14y + -0.01(40)

Multiply -0.01 * 40
0.04y2 = 0.14y + -0.4

Reorder the terms:
0.04y2 = -0.4 + 0.14y

Solving
0.04y2 = -0.4 + 0.14y

Solving for variable 'y'.

Reorder the terms:
0.4 + -0.14y + 0.04y2 = -0.4 + 0.14y + 0.4 + -0.14y

Reorder the terms:
0.4 + -0.14y + 0.04y2 = -0.4 + 0.4 + 0.14y + -0.14y

Combine like terms: -0.4 + 0.4 = 0.0
0.4 + -0.14y + 0.04y2 = 0.0 + 0.14y + -0.14y
0.4 + -0.14y + 0.04y2 = 0.14y + -0.14y

Combine like terms: 0.14y + -0.14y = 0.00
0.4 + -0.14y + 0.04y2 = 0.00

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

Divide each side by '0.04'.
10 + -3.5y + y2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -3.5y + -10 + y2 = 0 + -10

Reorder the terms:
10 + -10 + -3.5y + y2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3.5y + y2 = 0 + -10
-3.5y + y2 = 0 + -10

Combine like terms: 0 + -10 = -10
-3.5y + y2 = -10

The y term is -3.5y.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5y + 3.0625 + y2 = -10 + 3.0625

Reorder the terms:
3.0625 + -3.5y + y2 = -10 + 3.0625

Combine like terms: -10 + 3.0625 = -6.9375
3.0625 + -3.5y + y2 = -6.9375

Factor a perfect square on the left side:
(y + -1.75)(y + -1.75) = -6.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.