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Simplifying 2y2 + -6y = 8 Reorder the terms: -6y + 2y2 = 8 Solving -6y + 2y2 = 8 Solving for variable 'y'. Reorder the terms: -8 + -6y + 2y2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -6y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + -3y + y2) = 0 Factor a trinomial. 2((-1 + -1y)(4 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -1y)' equal to zero and attempt to solve: Simplifying -1 + -1y = 0 Solving -1 + -1y = 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 + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = 0 + 1 -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {-1, 4}
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