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Simplifying y2 + 23y = 24 Reorder the terms: 23y + y2 = 24 Solving 23y + y2 = 24 Solving for variable 'y'. Reorder the terms: -24 + 23y + y2 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 23y + y2 = 0 Factor a trinomial. (-24 + -1y)(1 + -1y) = 0Subproblem 1
Set the factor '(-24 + -1y)' equal to zero and attempt to solve: Simplifying -24 + -1y = 0 Solving -24 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1y = 0 + 24 -1y = 0 + 24 Combine like terms: 0 + 24 = 24 -1y = 24 Divide each side by '-1'. y = -24 Simplifying y = -24Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {-24, 1}
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