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Simplifying 4y(4y + -5) = 24 Reorder the terms: 4y(-5 + 4y) = 24 (-5 * 4y + 4y * 4y) = 24 (-20y + 16y2) = 24 Solving -20y + 16y2 = 24 Solving for variable 'y'. Reorder the terms: -24 + -20y + 16y2 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + -20y + 16y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + -5y + 4y2) = 0 Factor a trinomial. 4((-3 + -4y)(2 + -1y)) = 0 Ignore the factor 4.Subproblem 1
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 = -0.75Subproblem 2
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 = 2Solution
y = {-0.75, 2}
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