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Simplifying (y * y) + 14y = 207 Multiply y * y (y2) + 14y = 207 y2 + 14y = 207 Reorder the terms: 14y + y2 = 207 Solving 14y + y2 = 207 Solving for variable 'y'. Reorder the terms: -207 + 14y + y2 = 207 + -207 Combine like terms: 207 + -207 = 0 -207 + 14y + y2 = 0 Factor a trinomial. (-23 + -1y)(9 + -1y) = 0Subproblem 1
Set the factor '(-23 + -1y)' equal to zero and attempt to solve: Simplifying -23 + -1y = 0 Solving -23 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -1y = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -1y = 0 + 23 -1y = 0 + 23 Combine like terms: 0 + 23 = 23 -1y = 23 Divide each side by '-1'. y = -23 Simplifying y = -23Subproblem 2
Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Solution
y = {-23, 9}
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