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Simplifying (6 + y)(4y + -3) = 0 Reorder the terms: (6 + y)(-3 + 4y) = 0 Multiply (6 + y) * (-3 + 4y) (6(-3 + 4y) + y(-3 + 4y)) = 0 ((-3 * 6 + 4y * 6) + y(-3 + 4y)) = 0 ((-18 + 24y) + y(-3 + 4y)) = 0 (-18 + 24y + (-3 * y + 4y * y)) = 0 (-18 + 24y + (-3y + 4y2)) = 0 Combine like terms: 24y + -3y = 21y (-18 + 21y + 4y2) = 0 Solving -18 + 21y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-6 + -1y)(3 + -4y) = 0Subproblem 1
Set the factor '(-6 + -1y)' equal to zero and attempt to solve: Simplifying -6 + -1y = 0 Solving -6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1y = 0 + 6 -1y = 0 + 6 Combine like terms: 0 + 6 = 6 -1y = 6 Divide each side by '-1'. y = -6 Simplifying y = -6Subproblem 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 = {-6, 0.75}
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