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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((-5 + -1y)(2 + -1y)) = 0 Ignore the factor 2.Subproblem 1
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 = -5Subproblem 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 = {-5, 2}
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