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Simplifying 168 = 2y2 + 5y Reorder the terms: 168 = 5y + 2y2 Solving 168 = 5y + 2y2 Solving for variable 'y'. Reorder the terms: 168 + -5y + -2y2 = 5y + -5y + 2y2 + -2y2 Combine like terms: 5y + -5y = 0 168 + -5y + -2y2 = 0 + 2y2 + -2y2 168 + -5y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 168 + -5y + -2y2 = 0 Factor a trinomial. (8 + -1y)(21 + 2y) = 0Subproblem 1
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 = 8Subproblem 2
Set the factor '(21 + 2y)' equal to zero and attempt to solve: Simplifying 21 + 2y = 0 Solving 21 + 2y = 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 + 2y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 2y = 0 + -21 2y = 0 + -21 Combine like terms: 0 + -21 = -21 2y = -21 Divide each side by '2'. y = -10.5 Simplifying y = -10.5Solution
y = {8, -10.5}
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