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Simplifying (2y + -8)(3y + -4) = 0 Reorder the terms: (-8 + 2y)(3y + -4) = 0 Reorder the terms: (-8 + 2y)(-4 + 3y) = 0 Multiply (-8 + 2y) * (-4 + 3y) (-8(-4 + 3y) + 2y * (-4 + 3y)) = 0 ((-4 * -8 + 3y * -8) + 2y * (-4 + 3y)) = 0 ((32 + -24y) + 2y * (-4 + 3y)) = 0 (32 + -24y + (-4 * 2y + 3y * 2y)) = 0 (32 + -24y + (-8y + 6y2)) = 0 Combine like terms: -24y + -8y = -32y (32 + -32y + 6y2) = 0 Solving 32 + -32y + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(16 + -16y + 3y2) = 0 Factor a trinomial. 2((4 + -3y)(4 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -3y)' equal to zero and attempt to solve: Simplifying 4 + -3y = 0 Solving 4 + -3y = 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 + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 0 + -4 -3y = 0 + -4 Combine like terms: 0 + -4 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333Subproblem 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 = {1.333333333, 4}
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