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Simplifying 3y2 = 28y + -64 Reorder the terms: 3y2 = -64 + 28y Solving 3y2 = -64 + 28y Solving for variable 'y'. Reorder the terms: 64 + -28y + 3y2 = -64 + 28y + 64 + -28y Reorder the terms: 64 + -28y + 3y2 = -64 + 64 + 28y + -28y Combine like terms: -64 + 64 = 0 64 + -28y + 3y2 = 0 + 28y + -28y 64 + -28y + 3y2 = 28y + -28y Combine like terms: 28y + -28y = 0 64 + -28y + 3y2 = 0 Factor a trinomial. (4 + -1y)(16 + -3y) = 0Subproblem 1
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Subproblem 2
Set the factor '(16 + -3y)' equal to zero and attempt to solve: Simplifying 16 + -3y = 0 Solving 16 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3y = 0 + -16 -3y = 0 + -16 Combine like terms: 0 + -16 = -16 -3y = -16 Divide each side by '-3'. y = 5.333333333 Simplifying y = 5.333333333Solution
y = {4, 5.333333333}
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