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Simplifying (4y + -3)(2y + 5) = 0 Reorder the terms: (-3 + 4y)(2y + 5) = 0 Reorder the terms: (-3 + 4y)(5 + 2y) = 0 Multiply (-3 + 4y) * (5 + 2y) (-3(5 + 2y) + 4y * (5 + 2y)) = 0 ((5 * -3 + 2y * -3) + 4y * (5 + 2y)) = 0 ((-15 + -6y) + 4y * (5 + 2y)) = 0 (-15 + -6y + (5 * 4y + 2y * 4y)) = 0 (-15 + -6y + (20y + 8y2)) = 0 Combine like terms: -6y + 20y = 14y (-15 + 14y + 8y2) = 0 Solving -15 + 14y + 8y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + -2y)(3 + -4y) = 0Subproblem 1
Set the factor '(-5 + -2y)' equal to zero and attempt to solve: Simplifying -5 + -2y = 0 Solving -5 + -2y = 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 + -2y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2y = 0 + 5 -2y = 0 + 5 Combine like terms: 0 + 5 = 5 -2y = 5 Divide each side by '-2'. y = -2.5 Simplifying y = -2.5Subproblem 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 = {-2.5, 0.75}
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