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Simplifying (2y + -1)(5y + 4) = 0 Reorder the terms: (-1 + 2y)(5y + 4) = 0 Reorder the terms: (-1 + 2y)(4 + 5y) = 0 Multiply (-1 + 2y) * (4 + 5y) (-1(4 + 5y) + 2y * (4 + 5y)) = 0 ((4 * -1 + 5y * -1) + 2y * (4 + 5y)) = 0 ((-4 + -5y) + 2y * (4 + 5y)) = 0 (-4 + -5y + (4 * 2y + 5y * 2y)) = 0 (-4 + -5y + (8y + 10y2)) = 0 Combine like terms: -5y + 8y = 3y (-4 + 3y + 10y2) = 0 Solving -4 + 3y + 10y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + -5y)(1 + -2y) = 0Subproblem 1
Set the factor '(-4 + -5y)' equal to zero and attempt to solve: Simplifying -4 + -5y = 0 Solving -4 + -5y = 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 + -5y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5y = 0 + 4 -5y = 0 + 4 Combine like terms: 0 + 4 = 4 -5y = 4 Divide each side by '-5'. y = -0.8 Simplifying y = -0.8Subproblem 2
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {-0.8, 0.5}
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