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Simplifying (2y + -1)(4y + -3) = 0 Reorder the terms: (-1 + 2y)(4y + -3) = 0 Reorder the terms: (-1 + 2y)(-3 + 4y) = 0 Multiply (-1 + 2y) * (-3 + 4y) (-1(-3 + 4y) + 2y * (-3 + 4y)) = 0 ((-3 * -1 + 4y * -1) + 2y * (-3 + 4y)) = 0 ((3 + -4y) + 2y * (-3 + 4y)) = 0 (3 + -4y + (-3 * 2y + 4y * 2y)) = 0 (3 + -4y + (-6y + 8y2)) = 0 Combine like terms: -4y + -6y = -10y (3 + -10y + 8y2) = 0 Solving 3 + -10y + 8y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -2y)(3 + -4y) = 0Subproblem 1
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 = 0.5Subproblem 2
Set the factor '(3 + -4y)' equal to zero and attempt to solve: Simplifying 3 + -4y = 0 Solving 3 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = 0 + -3 -4y = 0 + -3 Combine like terms: 0 + -3 = -3 -4y = -3 Divide each side by '-4'. y = 0.75 Simplifying y = 0.75Solution
y = {0.5, 0.75}
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