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Simplifying y2 + 2y + -3 = 320 Reorder the terms: -3 + 2y + y2 = 320 Solving -3 + 2y + y2 = 320 Solving for variable 'y'. Reorder the terms: -3 + -320 + 2y + y2 = 320 + -320 Combine like terms: -3 + -320 = -323 -323 + 2y + y2 = 320 + -320 Combine like terms: 320 + -320 = 0 -323 + 2y + y2 = 0 Factor a trinomial. (-19 + -1y)(17 + -1y) = 0Subproblem 1
Set the factor '(-19 + -1y)' equal to zero and attempt to solve: Simplifying -19 + -1y = 0 Solving -19 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1y = 0 + 19 -1y = 0 + 19 Combine like terms: 0 + 19 = 19 -1y = 19 Divide each side by '-1'. y = -19 Simplifying y = -19Subproblem 2
Set the factor '(17 + -1y)' equal to zero and attempt to solve: Simplifying 17 + -1y = 0 Solving 17 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1y = 0 + -17 -1y = 0 + -17 Combine like terms: 0 + -17 = -17 -1y = -17 Divide each side by '-1'. y = 17 Simplifying y = 17Solution
y = {-19, 17}
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