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Simplifying Y2 = -7Y + -10 Reorder the terms: Y2 = -10 + -7Y Solving Y2 = -10 + -7Y Solving for variable 'Y'. Reorder the terms: 10 + 7Y + Y2 = -10 + -7Y + 10 + 7Y Reorder the terms: 10 + 7Y + Y2 = -10 + 10 + -7Y + 7Y Combine like terms: -10 + 10 = 0 10 + 7Y + Y2 = 0 + -7Y + 7Y 10 + 7Y + Y2 = -7Y + 7Y Combine like terms: -7Y + 7Y = 0 10 + 7Y + Y2 = 0 Factor a trinomial. (5 + Y)(2 + Y) = 0Subproblem 1
Set the factor '(5 + Y)' equal to zero and attempt to solve: Simplifying 5 + Y = 0 Solving 5 + Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + Y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + Y = 0 + -5 Y = 0 + -5 Combine like terms: 0 + -5 = -5 Y = -5 Simplifying Y = -5Subproblem 2
Set the factor '(2 + Y)' equal to zero and attempt to solve: Simplifying 2 + Y = 0 Solving 2 + Y = 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 + Y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + Y = 0 + -2 Y = 0 + -2 Combine like terms: 0 + -2 = -2 Y = -2 Simplifying Y = -2Solution
Y = {-5, -2}
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