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Simplifying 2y(y + -16) + 5(y + -16) = 0 Reorder the terms: 2y(-16 + y) + 5(y + -16) = 0 (-16 * 2y + y * 2y) + 5(y + -16) = 0 (-32y + 2y2) + 5(y + -16) = 0 Reorder the terms: -32y + 2y2 + 5(-16 + y) = 0 -32y + 2y2 + (-16 * 5 + y * 5) = 0 -32y + 2y2 + (-80 + 5y) = 0 Reorder the terms: -80 + -32y + 5y + 2y2 = 0 Combine like terms: -32y + 5y = -27y -80 + -27y + 2y2 = 0 Solving -80 + -27y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + -2y)(16 + -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 '(16 + -1y)' equal to zero and attempt to solve: Simplifying 16 + -1y = 0 Solving 16 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1y = 0 + -16 -1y = 0 + -16 Combine like terms: 0 + -16 = -16 -1y = -16 Divide each side by '-1'. y = 16 Simplifying y = 16Solution
y = {-2.5, 16}
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