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Simplifying (3y + 4)(10 + -1y) = 0 Reorder the terms: (4 + 3y)(10 + -1y) = 0 Multiply (4 + 3y) * (10 + -1y) (4(10 + -1y) + 3y * (10 + -1y)) = 0 ((10 * 4 + -1y * 4) + 3y * (10 + -1y)) = 0 ((40 + -4y) + 3y * (10 + -1y)) = 0 (40 + -4y + (10 * 3y + -1y * 3y)) = 0 (40 + -4y + (30y + -3y2)) = 0 Combine like terms: -4y + 30y = 26y (40 + 26y + -3y2) = 0 Solving 40 + 26y + -3y2 = 0 Solving for variable 'y'. Factor a trinomial. (10 + -1y)(4 + 3y) = 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 '(4 + 3y)' equal to zero and attempt to solve: Simplifying 4 + 3y = 0 Solving 4 + 3y = 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 + 3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = 0 + -4 3y = 0 + -4 Combine like terms: 0 + -4 = -4 3y = -4 Divide each side by '3'. y = -1.333333333 Simplifying y = -1.333333333Solution
y = {10, -1.333333333}
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