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Simplifying 4 + 4y + 2y2 = 244 Solving 4 + 4y + 2y2 = 244 Solving for variable 'y'. Reorder the terms: 4 + -244 + 4y + 2y2 = 244 + -244 Combine like terms: 4 + -244 = -240 -240 + 4y + 2y2 = 244 + -244 Combine like terms: 244 + -244 = 0 -240 + 4y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-120 + 2y + y2) = 0 Factor a trinomial. 2((-12 + -1y)(10 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + -1y)' equal to zero and attempt to solve: Simplifying -12 + -1y = 0 Solving -12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1y = 0 + 12 -1y = 0 + 12 Combine like terms: 0 + 12 = 12 -1y = 12 Divide each side by '-1'. y = -12 Simplifying y = -12Subproblem 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 = {-12, 10}
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