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Simplifying 4y2 + -29y + -24 = 0 Reorder the terms: -24 + -29y + 4y2 = 0 Solving -24 + -29y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -4y)(8 + -1y) = 0Subproblem 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 '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8Solution
y = {-0.75, 8}
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