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Simplifying y2 = y + 56 Reorder the terms: y2 = 56 + y Solving y2 = 56 + y Solving for variable 'y'. Reorder the terms: -56 + -1y + y2 = 56 + y + -56 + -1y Reorder the terms: -56 + -1y + y2 = 56 + -56 + y + -1y Combine like terms: 56 + -56 = 0 -56 + -1y + y2 = 0 + y + -1y -56 + -1y + y2 = y + -1y Combine like terms: y + -1y = 0 -56 + -1y + y2 = 0 Factor a trinomial. (-7 + -1y)(8 + -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 '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8Solution
y = {-7, 8}
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