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Simplifying y2 + 44 + 6y + 1 = 180 Reorder the terms: 44 + 1 + 6y + y2 = 180 Combine like terms: 44 + 1 = 45 45 + 6y + y2 = 180 Solving 45 + 6y + y2 = 180 Solving for variable 'y'. Reorder the terms: 45 + -180 + 6y + y2 = 180 + -180 Combine like terms: 45 + -180 = -135 -135 + 6y + y2 = 180 + -180 Combine like terms: 180 + -180 = 0 -135 + 6y + y2 = 0 Factor a trinomial. (-15 + -1y)(9 + -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 '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Solution
y = {-15, 9}
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