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Simplifying (4y + 8)(3y + -4) = 0 Reorder the terms: (8 + 4y)(3y + -4) = 0 Reorder the terms: (8 + 4y)(-4 + 3y) = 0 Multiply (8 + 4y) * (-4 + 3y) (8(-4 + 3y) + 4y * (-4 + 3y)) = 0 ((-4 * 8 + 3y * 8) + 4y * (-4 + 3y)) = 0 ((-32 + 24y) + 4y * (-4 + 3y)) = 0 (-32 + 24y + (-4 * 4y + 3y * 4y)) = 0 (-32 + 24y + (-16y + 12y2)) = 0 Combine like terms: 24y + -16y = 8y (-32 + 8y + 12y2) = 0 Solving -32 + 8y + 12y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(-8 + 2y + 3y2) = 0 Factor a trinomial. 4((-2 + -1y)(4 + -3y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2Subproblem 2
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 = 1.333333333Solution
y = {-2, 1.333333333}
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