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Simplifying y2 + -5y = 336 Reorder the terms: -5y + y2 = 336 Solving -5y + y2 = 336 Solving for variable 'y'. Reorder the terms: -336 + -5y + y2 = 336 + -336 Combine like terms: 336 + -336 = 0 -336 + -5y + y2 = 0 Factor a trinomial. (-16 + -1y)(21 + -1y) = 0Subproblem 1
Set the factor '(-16 + -1y)' equal to zero and attempt to solve: Simplifying -16 + -1y = 0 Solving -16 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1y = 0 + 16 -1y = 0 + 16 Combine like terms: 0 + 16 = 16 -1y = 16 Divide each side by '-1'. y = -16 Simplifying y = -16Subproblem 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 = {-16, 21}
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