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Simplifying (2y + 5)(y + -4) = 0 Reorder the terms: (5 + 2y)(y + -4) = 0 Reorder the terms: (5 + 2y)(-4 + y) = 0 Multiply (5 + 2y) * (-4 + y) (5(-4 + y) + 2y * (-4 + y)) = 0 ((-4 * 5 + y * 5) + 2y * (-4 + y)) = 0 ((-20 + 5y) + 2y * (-4 + y)) = 0 (-20 + 5y + (-4 * 2y + y * 2y)) = 0 (-20 + 5y + (-8y + 2y2)) = 0 Combine like terms: 5y + -8y = -3y (-20 + -3y + 2y2) = 0 Solving -20 + -3y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + -2y)(4 + -1y) = 0Subproblem 1
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 = -2.5Subproblem 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 = {-2.5, 4}
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