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Simplifying 3y2 = 22y + -40 Reorder the terms: 3y2 = -40 + 22y Solving 3y2 = -40 + 22y Solving for variable 'y'. Reorder the terms: 40 + -22y + 3y2 = -40 + 22y + 40 + -22y Reorder the terms: 40 + -22y + 3y2 = -40 + 40 + 22y + -22y Combine like terms: -40 + 40 = 0 40 + -22y + 3y2 = 0 + 22y + -22y 40 + -22y + 3y2 = 22y + -22y Combine like terms: 22y + -22y = 0 40 + -22y + 3y2 = 0 Factor a trinomial. (10 + -3y)(4 + -1y) = 0Subproblem 1
Set the factor '(10 + -3y)' equal to zero and attempt to solve: Simplifying 10 + -3y = 0 Solving 10 + -3y = 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 + -3y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3y = 0 + -10 -3y = 0 + -10 Combine like terms: 0 + -10 = -10 -3y = -10 Divide each side by '-3'. y = 3.333333333 Simplifying y = 3.333333333Subproblem 2
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 = 4Solution
y = {3.333333333, 4}
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