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

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


Simplifying
(y + -8)(-2y + 8y + 2) = 0

Reorder the terms:
(-8 + y)(-2y + 8y + 2) = 0

Reorder the terms:
(-8 + y)(2 + -2y + 8y) = 0

Combine like terms: -2y + 8y = 6y
(-8 + y)(2 + 6y) = 0

Multiply (-8 + y) * (2 + 6y)
(-8(2 + 6y) + y(2 + 6y)) = 0
((2 * -8 + 6y * -8) + y(2 + 6y)) = 0
((-16 + -48y) + y(2 + 6y)) = 0
(-16 + -48y + (2 * y + 6y * y)) = 0
(-16 + -48y + (2y + 6y2)) = 0

Combine like terms: -48y + 2y = -46y
(-16 + -46y + 6y2) = 0

Solving
-16 + -46y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -23y + 3y2) = 0

Factor a trinomial.
2((-1 + -3y)(8 + -1y)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -3y)' equal to zero and attempt to solve: Simplifying -1 + -3y = 0 Solving -1 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3y = 0 + 1 -3y = 0 + 1 Combine like terms: 0 + 1 = 1 -3y = 1 Divide each side by '-3'. y = -0.3333333333 Simplifying y = -0.3333333333

Subproblem 2

Set the factor '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8

Solution

y = {-0.3333333333, 8}

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