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Simplifying 3y2 + 8y + -60 = 2880 Reorder the terms: -60 + 8y + 3y2 = 2880 Solving -60 + 8y + 3y2 = 2880 Solving for variable 'y'. Reorder the terms: -60 + -2880 + 8y + 3y2 = 2880 + -2880 Combine like terms: -60 + -2880 = -2940 -2940 + 8y + 3y2 = 2880 + -2880 Combine like terms: 2880 + -2880 = 0 -2940 + 8y + 3y2 = 0 Factor a trinomial. (-98 + -3y)(30 + -1y) = 0Subproblem 1
Set the factor '(-98 + -3y)' equal to zero and attempt to solve: Simplifying -98 + -3y = 0 Solving -98 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '98' to each side of the equation. -98 + 98 + -3y = 0 + 98 Combine like terms: -98 + 98 = 0 0 + -3y = 0 + 98 -3y = 0 + 98 Combine like terms: 0 + 98 = 98 -3y = 98 Divide each side by '-3'. y = -32.66666667 Simplifying y = -32.66666667Subproblem 2
Set the factor '(30 + -1y)' equal to zero and attempt to solve: Simplifying 30 + -1y = 0 Solving 30 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1y = 0 + -30 -1y = 0 + -30 Combine like terms: 0 + -30 = -30 -1y = -30 Divide each side by '-1'. y = 30 Simplifying y = 30Solution
y = {-32.66666667, 30}
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