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Simplifying 2y2 + -53y + 330 = 0 Reorder the terms: 330 + -53y + 2y2 = 0 Solving 330 + -53y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (10 + -1y)(33 + -2y) = 0Subproblem 1
Set the factor '(10 + -1y)' equal to zero and attempt to solve: Simplifying 10 + -1y = 0 Solving 10 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = 0 + -10 -1y = 0 + -10 Combine like terms: 0 + -10 = -10 -1y = -10 Divide each side by '-1'. y = 10 Simplifying y = 10Subproblem 2
Set the factor '(33 + -2y)' equal to zero and attempt to solve: Simplifying 33 + -2y = 0 Solving 33 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -2y = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -2y = 0 + -33 -2y = 0 + -33 Combine like terms: 0 + -33 = -33 -2y = -33 Divide each side by '-2'. y = 16.5 Simplifying y = 16.5Solution
y = {10, 16.5}
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