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Simplifying -8 = 2y2 + -8y Reorder the terms: -8 = -8y + 2y2 Solving -8 = -8y + 2y2 Solving for variable 'y'. Reorder the terms: -8 + 8y + -2y2 = -8y + 8y + 2y2 + -2y2 Combine like terms: -8y + 8y = 0 -8 + 8y + -2y2 = 0 + 2y2 + -2y2 -8 + 8y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -8 + 8y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 4y + -1y2) = 0 Factor a trinomial. 2((-2 + y)(2 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Simplifying y = 2Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Solution
y = {2, 2}
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