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Simplifying (4y + -5)(8y + 3) = 0 Reorder the terms: (-5 + 4y)(8y + 3) = 0 Reorder the terms: (-5 + 4y)(3 + 8y) = 0 Multiply (-5 + 4y) * (3 + 8y) (-5(3 + 8y) + 4y * (3 + 8y)) = 0 ((3 * -5 + 8y * -5) + 4y * (3 + 8y)) = 0 ((-15 + -40y) + 4y * (3 + 8y)) = 0 (-15 + -40y + (3 * 4y + 8y * 4y)) = 0 (-15 + -40y + (12y + 32y2)) = 0 Combine like terms: -40y + 12y = -28y (-15 + -28y + 32y2) = 0 Solving -15 + -28y + 32y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -8y)(5 + -4y) = 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 '(5 + -4y)' equal to zero and attempt to solve: Simplifying 5 + -4y = 0 Solving 5 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4y = 0 + -5 -4y = 0 + -5 Combine like terms: 0 + -5 = -5 -4y = -5 Divide each side by '-4'. y = 1.25 Simplifying y = 1.25Solution
y = {-0.375, 1.25}
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