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