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Simplifying 3y2 = 2y + 5 Reorder the terms: 3y2 = 5 + 2y Solving 3y2 = 5 + 2y Solving for variable 'y'. Reorder the terms: -5 + -2y + 3y2 = 5 + 2y + -5 + -2y Reorder the terms: -5 + -2y + 3y2 = 5 + -5 + 2y + -2y Combine like terms: 5 + -5 = 0 -5 + -2y + 3y2 = 0 + 2y + -2y -5 + -2y + 3y2 = 2y + -2y Combine like terms: 2y + -2y = 0 -5 + -2y + 3y2 = 0 Factor a trinomial. (-1 + -1y)(5 + -3y) = 0Subproblem 1
Set the factor '(-1 + -1y)' equal to zero and attempt to solve: Simplifying -1 + -1y = 0 Solving -1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = 0 + 1 -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1Subproblem 2
Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667Solution
y = {-1, 1.666666667}
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