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Simplifying (Y + 10)(Y + 5) = 0 Reorder the terms: (10 + Y)(Y + 5) = 0 Reorder the terms: (10 + Y)(5 + Y) = 0 Multiply (10 + Y) * (5 + Y) (10(5 + Y) + Y(5 + Y)) = 0 ((5 * 10 + Y * 10) + Y(5 + Y)) = 0 ((50 + 10Y) + Y(5 + Y)) = 0 (50 + 10Y + (5 * Y + Y * Y)) = 0 (50 + 10Y + (5Y + Y2)) = 0 Combine like terms: 10Y + 5Y = 15Y (50 + 15Y + Y2) = 0 Solving 50 + 15Y + Y2 = 0 Solving for variable 'Y'. Factor a trinomial. (10 + Y)(5 + Y) = 0Subproblem 1
Set the factor '(10 + Y)' equal to zero and attempt to solve: Simplifying 10 + Y = 0 Solving 10 + Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + Y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + Y = 0 + -10 Y = 0 + -10 Combine like terms: 0 + -10 = -10 Y = -10 Simplifying Y = -10Subproblem 2
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 = -5Solution
Y = {-10, -5}
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