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Simplifying (y + 11)(y + -12) = 0 Reorder the terms: (11 + y)(y + -12) = 0 Reorder the terms: (11 + y)(-12 + y) = 0 Multiply (11 + y) * (-12 + y) (11(-12 + y) + y(-12 + y)) = 0 ((-12 * 11 + y * 11) + y(-12 + y)) = 0 ((-132 + 11y) + y(-12 + y)) = 0 (-132 + 11y + (-12 * y + y * y)) = 0 (-132 + 11y + (-12y + y2)) = 0 Combine like terms: 11y + -12y = -1y (-132 + -1y + y2) = 0 Solving -132 + -1y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-11 + -1y)(12 + -1y) = 0Subproblem 1
Set the factor '(-11 + -1y)' equal to zero and attempt to solve: Simplifying -11 + -1y = 0 Solving -11 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1y = 0 + 11 -1y = 0 + 11 Combine like terms: 0 + 11 = 11 -1y = 11 Divide each side by '-1'. y = -11 Simplifying y = -11Subproblem 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 = {-11, 12}
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