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Simplifying y2 = 2y + 63 Reorder the terms: y2 = 63 + 2y Solving y2 = 63 + 2y Solving for variable 'y'. Reorder the terms: -63 + -2y + y2 = 63 + 2y + -63 + -2y Reorder the terms: -63 + -2y + y2 = 63 + -63 + 2y + -2y Combine like terms: 63 + -63 = 0 -63 + -2y + y2 = 0 + 2y + -2y -63 + -2y + y2 = 2y + -2y Combine like terms: 2y + -2y = 0 -63 + -2y + y2 = 0 Factor a trinomial. (-7 + -1y)(9 + -1y) = 0Subproblem 1
Set the factor '(-7 + -1y)' equal to zero and attempt to solve: Simplifying -7 + -1y = 0 Solving -7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = 0 + 7 -1y = 0 + 7 Combine like terms: 0 + 7 = 7 -1y = 7 Divide each side by '-1'. y = -7 Simplifying y = -7Subproblem 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 = {-7, 9}
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