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Simplifying y2 + 15y + 50 = 30y Reorder the terms: 50 + 15y + y2 = 30y Solving 50 + 15y + y2 = 30y Solving for variable 'y'. Reorder the terms: 50 + 15y + -30y + y2 = 30y + -30y Combine like terms: 15y + -30y = -15y 50 + -15y + y2 = 30y + -30y Combine like terms: 30y + -30y = 0 50 + -15y + y2 = 0 Factor a trinomial. (5 + -1y)(10 + -1y) = 0Subproblem 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 '(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 = {5, 10}
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