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Simplifying 2y2 + -28y = -80 Reorder the terms: -28y + 2y2 = -80 Solving -28y + 2y2 = -80 Solving for variable 'y'. Reorder the terms: 80 + -28y + 2y2 = -80 + 80 Combine like terms: -80 + 80 = 0 80 + -28y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(40 + -14y + y2) = 0 Factor a trinomial. 2((4 + -1y)(10 + -1y)) = 0 Ignore the factor 2.Subproblem 1
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 = 4Subproblem 2
Set the factor '(10 + -1y)' equal to zero and attempt to solve: Simplifying 10 + -1y = 0 Solving 10 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = 0 + -10 -1y = 0 + -10 Combine like terms: 0 + -10 = -10 -1y = -10 Divide each side by '-1'. y = 10 Simplifying y = 10Solution
y = {4, 10}
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