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Simplifying (5y + -2)(4 + -1y) = 0 Reorder the terms: (-2 + 5y)(4 + -1y) = 0 Multiply (-2 + 5y) * (4 + -1y) (-2(4 + -1y) + 5y * (4 + -1y)) = 0 ((4 * -2 + -1y * -2) + 5y * (4 + -1y)) = 0 ((-8 + 2y) + 5y * (4 + -1y)) = 0 (-8 + 2y + (4 * 5y + -1y * 5y)) = 0 (-8 + 2y + (20y + -5y2)) = 0 Combine like terms: 2y + 20y = 22y (-8 + 22y + -5y2) = 0 Solving -8 + 22y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + y)(2 + -5y) = 0Subproblem 1
Set the factor '(-4 + y)' equal to zero and attempt to solve: Simplifying -4 + y = 0 Solving -4 + y = 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 + y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + y = 0 + 4 y = 0 + 4 Combine like terms: 0 + 4 = 4 y = 4 Simplifying y = 4Subproblem 2
Set the factor '(2 + -5y)' equal to zero and attempt to solve: Simplifying 2 + -5y = 0 Solving 2 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5y = 0 + -2 -5y = 0 + -2 Combine like terms: 0 + -2 = -2 -5y = -2 Divide each side by '-5'. y = 0.4 Simplifying y = 0.4Solution
y = {4, 0.4}
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