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Simplifying (y + 12)(y + 10) = 0 Reorder the terms: (12 + y)(y + 10) = 0 Reorder the terms: (12 + y)(10 + y) = 0 Multiply (12 + y) * (10 + y) (12(10 + y) + y(10 + y)) = 0 ((10 * 12 + y * 12) + y(10 + y)) = 0 ((120 + 12y) + y(10 + y)) = 0 (120 + 12y + (10 * y + y * y)) = 0 (120 + 12y + (10y + y2)) = 0 Combine like terms: 12y + 10y = 22y (120 + 22y + y2) = 0 Solving 120 + 22y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (12 + y)(10 + y) = 0Subproblem 1
Set the factor '(12 + y)' equal to zero and attempt to solve: Simplifying 12 + y = 0 Solving 12 + y = 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 + y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + y = 0 + -12 y = 0 + -12 Combine like terms: 0 + -12 = -12 y = -12 Simplifying y = -12Subproblem 2
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 = -10Solution
y = {-12, -10}
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