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Simplifying (y + 4)(2y + -5) = 0 Reorder the terms: (4 + y)(2y + -5) = 0 Reorder the terms: (4 + y)(-5 + 2y) = 0 Multiply (4 + y) * (-5 + 2y) (4(-5 + 2y) + y(-5 + 2y)) = 0 ((-5 * 4 + 2y * 4) + y(-5 + 2y)) = 0 ((-20 + 8y) + y(-5 + 2y)) = 0 (-20 + 8y + (-5 * y + 2y * y)) = 0 (-20 + 8y + (-5y + 2y2)) = 0 Combine like terms: 8y + -5y = 3y (-20 + 3y + 2y2) = 0 Solving -20 + 3y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + -1y)(5 + -2y) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 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 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5Solution
y = {-4, 2.5}
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