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Simplifying 2y2 + -6y = 20 Reorder the terms: -6y + 2y2 = 20 Solving -6y + 2y2 = 20 Solving for variable 'y'. Reorder the terms: -20 + -6y + 2y2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -6y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + -3y + y2) = 0 Factor a trinomial. 2((-2 + -1y)(5 + -1y)) = 0 Ignore the factor 2.Subproblem 1
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 = -2Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Solution
y = {-2, 5}
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