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Simplifying 3y2 + 2y + 5 = 38 Reorder the terms: 5 + 2y + 3y2 = 38 Solving 5 + 2y + 3y2 = 38 Solving for variable 'y'. Reorder the terms: 5 + -38 + 2y + 3y2 = 38 + -38 Combine like terms: 5 + -38 = -33 -33 + 2y + 3y2 = 38 + -38 Combine like terms: 38 + -38 = 0 -33 + 2y + 3y2 = 0 Factor a trinomial. (-11 + -3y)(3 + -1y) = 0Subproblem 1
Set the factor '(-11 + -3y)' equal to zero and attempt to solve: Simplifying -11 + -3y = 0 Solving -11 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3y = 0 + 11 -3y = 0 + 11 Combine like terms: 0 + 11 = 11 -3y = 11 Divide each side by '-3'. y = -3.666666667 Simplifying y = -3.666666667Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {-3.666666667, 3}
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