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Simplifying y2 + -16y + -10 = 26 Reorder the terms: -10 + -16y + y2 = 26 Solving -10 + -16y + y2 = 26 Solving for variable 'y'. Reorder the terms: -10 + -26 + -16y + y2 = 26 + -26 Combine like terms: -10 + -26 = -36 -36 + -16y + y2 = 26 + -26 Combine like terms: 26 + -26 = 0 -36 + -16y + y2 = 0 Factor a trinomial. (-2 + -1y)(18 + -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 '(18 + -1y)' equal to zero and attempt to solve: Simplifying 18 + -1y = 0 Solving 18 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1y = 0 + -18 -1y = 0 + -18 Combine like terms: 0 + -18 = -18 -1y = -18 Divide each side by '-1'. y = 18 Simplifying y = 18Solution
y = {-2, 18}
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