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Simplifying (8y + 3)(2y + -3) = 0 Reorder the terms: (3 + 8y)(2y + -3) = 0 Reorder the terms: (3 + 8y)(-3 + 2y) = 0 Multiply (3 + 8y) * (-3 + 2y) (3(-3 + 2y) + 8y * (-3 + 2y)) = 0 ((-3 * 3 + 2y * 3) + 8y * (-3 + 2y)) = 0 ((-9 + 6y) + 8y * (-3 + 2y)) = 0 (-9 + 6y + (-3 * 8y + 2y * 8y)) = 0 (-9 + 6y + (-24y + 16y2)) = 0 Combine like terms: 6y + -24y = -18y (-9 + -18y + 16y2) = 0 Solving -9 + -18y + 16y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -8y)(3 + -2y) = 0Subproblem 1
Set the factor '(-3 + -8y)' equal to zero and attempt to solve: Simplifying -3 + -8y = 0 Solving -3 + -8y = 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 + -8y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8y = 0 + 3 -8y = 0 + 3 Combine like terms: 0 + 3 = 3 -8y = 3 Divide each side by '-8'. y = -0.375 Simplifying y = -0.375Subproblem 2
Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 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 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Solution
y = {-0.375, 1.5}
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