-5y+8=-8y(4y+2)

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Solution for -5y+8=-8y(4y+2) equation: 


Simplifying
-5y + 8 = -8y(4y + 2)

Reorder the terms:
8 + -5y = -8y(4y + 2)

Reorder the terms:
8 + -5y = -8y(2 + 4y)
8 + -5y = (2 * -8y + 4y * -8y)
8 + -5y = (-16y + -32y2)

Solving
8 + -5y = -16y + -32y2

Solving for variable 'y'.

Combine like terms: -5y + 16y = 11y
8 + 11y + 32y2 = -16y + -32y2 + 16y + 32y2

Reorder the terms:
8 + 11y + 32y2 = -16y + 16y + -32y2 + 32y2

Combine like terms: -16y + 16y = 0
8 + 11y + 32y2 = 0 + -32y2 + 32y2
8 + 11y + 32y2 = -32y2 + 32y2

Combine like terms: -32y2 + 32y2 = 0
8 + 11y + 32y2 = 0

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

Divide each side by '32'.
0.25 + 0.34375y + y2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + 0.34375y + -0.25 + y2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + 0.34375y + y2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 0.34375y + y2 = 0 + -0.25
0.34375y + y2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
0.34375y + y2 = -0.25

The y term is 0.34375y.  Take half its coefficient (0.171875).
Square it (0.02954101563) and add it to both sides.

Add '0.02954101563' to each side of the equation.
0.34375y + 0.02954101563 + y2 = -0.25 + 0.02954101563

Reorder the terms:
0.02954101563 + 0.34375y + y2 = -0.25 + 0.02954101563

Combine like terms: -0.25 + 0.02954101563 = -0.22045898437
0.02954101563 + 0.34375y + y2 = -0.22045898437

Factor a perfect square on the left side:
(y + 0.171875)(y + 0.171875) = -0.22045898437

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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