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Simplifying y2 + -18y = 63 Reorder the terms: -18y + y2 = 63 Solving -18y + y2 = 63 Solving for variable 'y'. Reorder the terms: -63 + -18y + y2 = 63 + -63 Combine like terms: 63 + -63 = 0 -63 + -18y + y2 = 0 Factor a trinomial. (-3 + -1y)(21 + -1y) = 0Subproblem 1
Set the factor '(-3 + -1y)' equal to zero and attempt to solve: Simplifying -3 + -1y = 0 Solving -3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1y = 0 + 3 -1y = 0 + 3 Combine like terms: 0 + 3 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3Subproblem 2
Set the factor '(21 + -1y)' equal to zero and attempt to solve: Simplifying 21 + -1y = 0 Solving 21 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1y = 0 + -21 -1y = 0 + -21 Combine like terms: 0 + -21 = -21 -1y = -21 Divide each side by '-1'. y = 21 Simplifying y = 21Solution
y = {-3, 21}
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