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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 = -0.3333333333Subproblem 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 = 8Solution
y = {-0.3333333333, 8}
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