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Simplifying 0 = 10y + y2 + -264 Reorder the terms: 0 = -264 + 10y + y2 Solving 0 = -264 + 10y + y2 Solving for variable 'y'. Combine like terms: 0 + 264 = 264 264 + -10y + -1y2 = -264 + 10y + y2 + 264 + -10y + -1y2 Reorder the terms: 264 + -10y + -1y2 = -264 + 264 + 10y + -10y + y2 + -1y2 Combine like terms: -264 + 264 = 0 264 + -10y + -1y2 = 0 + 10y + -10y + y2 + -1y2 264 + -10y + -1y2 = 10y + -10y + y2 + -1y2 Combine like terms: 10y + -10y = 0 264 + -10y + -1y2 = 0 + y2 + -1y2 264 + -10y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 264 + -10y + -1y2 = 0 Factor a trinomial. (12 + -1y)(22 + y) = 0Subproblem 1
Set the factor '(12 + -1y)' equal to zero and attempt to solve: Simplifying 12 + -1y = 0 Solving 12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = 0 + -12 -1y = 0 + -12 Combine like terms: 0 + -12 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12Subproblem 2
Set the factor '(22 + y)' equal to zero and attempt to solve: Simplifying 22 + y = 0 Solving 22 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + y = 0 + -22 Combine like terms: 22 + -22 = 0 0 + y = 0 + -22 y = 0 + -22 Combine like terms: 0 + -22 = -22 y = -22 Simplifying y = -22Solution
y = {12, -22}
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