10y(2y+2)-y=2(8y-8)

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Solution for 10y(2y+2)-y=2(8y-8) equation: 


Simplifying
10y(2y + 2) + -1y = 2(8y + -8)

Reorder the terms:
10y(2 + 2y) + -1y = 2(8y + -8)
(2 * 10y + 2y * 10y) + -1y = 2(8y + -8)
(20y + 20y2) + -1y = 2(8y + -8)

Reorder the terms:
20y + -1y + 20y2 = 2(8y + -8)

Combine like terms: 20y + -1y = 19y
19y + 20y2 = 2(8y + -8)

Reorder the terms:
19y + 20y2 = 2(-8 + 8y)
19y + 20y2 = (-8 * 2 + 8y * 2)
19y + 20y2 = (-16 + 16y)

Solving
19y + 20y2 = -16 + 16y

Solving for variable 'y'.

Reorder the terms:
16 + 19y + -16y + 20y2 = -16 + 16y + 16 + -16y

Combine like terms: 19y + -16y = 3y
16 + 3y + 20y2 = -16 + 16y + 16 + -16y

Reorder the terms:
16 + 3y + 20y2 = -16 + 16 + 16y + -16y

Combine like terms: -16 + 16 = 0
16 + 3y + 20y2 = 0 + 16y + -16y
16 + 3y + 20y2 = 16y + -16y

Combine like terms: 16y + -16y = 0
16 + 3y + 20y2 = 0

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

Divide each side by '20'.
0.8 + 0.15y + y2 = 0.0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + 0.15y + -0.8 + y2 = 0.0 + -0.8

Reorder the terms:
0.8 + -0.8 + 0.15y + y2 = 0.0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.15y + y2 = 0.0 + -0.8
0.15y + y2 = 0.0 + -0.8

Combine like terms: 0.0 + -0.8 = -0.8
0.15y + y2 = -0.8

The y term is 0.15y.  Take half its coefficient (0.075).
Square it (0.005625) and add it to both sides.

Add '0.005625' to each side of the equation.
0.15y + 0.005625 + y2 = -0.8 + 0.005625

Reorder the terms:
0.005625 + 0.15y + y2 = -0.8 + 0.005625

Combine like terms: -0.8 + 0.005625 = -0.794375
0.005625 + 0.15y + y2 = -0.794375

Factor a perfect square on the left side:
(y + 0.075)(y + 0.075) = -0.794375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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