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Simplifying y2 + 10 + 5y + 20 = 180 Reorder the terms: 10 + 20 + 5y + y2 = 180 Combine like terms: 10 + 20 = 30 30 + 5y + y2 = 180 Solving 30 + 5y + y2 = 180 Solving for variable 'y'. Reorder the terms: 30 + -180 + 5y + y2 = 180 + -180 Combine like terms: 30 + -180 = -150 -150 + 5y + y2 = 180 + -180 Combine like terms: 180 + -180 = 0 -150 + 5y + y2 = 0 Factor a trinomial. (-15 + -1y)(10 + -1y) = 0Subproblem 1
Set the factor '(-15 + -1y)' equal to zero and attempt to solve: Simplifying -15 + -1y = 0 Solving -15 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1y = 0 + 15 -1y = 0 + 15 Combine like terms: 0 + 15 = 15 -1y = 15 Divide each side by '-1'. y = -15 Simplifying y = -15Subproblem 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 = {-15, 10}
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