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Simplifying 3y2 + -64y + -192 = 0 Reorder the terms: -192 + -64y + 3y2 = 0 Solving -192 + -64y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-8 + -3y)(24 + -1y) = 0Subproblem 1
Set the factor '(-8 + -3y)' equal to zero and attempt to solve: Simplifying -8 + -3y = 0 Solving -8 + -3y = 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 + -3y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3y = 0 + 8 -3y = 0 + 8 Combine like terms: 0 + 8 = 8 -3y = 8 Divide each side by '-3'. y = -2.666666667 Simplifying y = -2.666666667Subproblem 2
Set the factor '(24 + -1y)' equal to zero and attempt to solve: Simplifying 24 + -1y = 0 Solving 24 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1y = 0 + -24 -1y = 0 + -24 Combine like terms: 0 + -24 = -24 -1y = -24 Divide each side by '-1'. y = 24 Simplifying y = 24Solution
y = {-2.666666667, 24}
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