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Simplifying (y + -4)(y + 5) = 0 Reorder the terms: (-4 + y)(y + 5) = 0 Reorder the terms: (-4 + y)(5 + y) = 0 Multiply (-4 + y) * (5 + y) (-4(5 + y) + y(5 + y)) = 0 ((5 * -4 + y * -4) + y(5 + y)) = 0 ((-20 + -4y) + y(5 + y)) = 0 (-20 + -4y + (5 * y + y * y)) = 0 (-20 + -4y + (5y + y2)) = 0 Combine like terms: -4y + 5y = 1y (-20 + 1y + y2) = 0 Solving -20 + 1y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + -1y)(4 + -1y) = 0Subproblem 1
Set the factor '(-5 + -1y)' equal to zero and attempt to solve: Simplifying -5 + -1y = 0 Solving -5 + -1y = 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 + -1y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = 0 + 5 -1y = 0 + 5 Combine like terms: 0 + 5 = 5 -1y = 5 Divide each side by '-1'. y = -5 Simplifying y = -5Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {-5, 4}
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