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Simplifying 16 = 10y + -1y2 Solving 16 = 10y + -1y2 Solving for variable 'y'. Reorder the terms: 16 + -10y + y2 = 10y + -10y + -1y2 + y2 Combine like terms: 10y + -10y = 0 16 + -10y + y2 = 0 + -1y2 + y2 16 + -10y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 16 + -10y + y2 = 0 Factor a trinomial. (2 + -1y)(8 + -1y) = 0Subproblem 1
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Subproblem 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 = {2, 8}
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