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Simplifying (5y + 6)(3y + 20) = 0 Reorder the terms: (6 + 5y)(3y + 20) = 0 Reorder the terms: (6 + 5y)(20 + 3y) = 0 Multiply (6 + 5y) * (20 + 3y) (6(20 + 3y) + 5y * (20 + 3y)) = 0 ((20 * 6 + 3y * 6) + 5y * (20 + 3y)) = 0 ((120 + 18y) + 5y * (20 + 3y)) = 0 (120 + 18y + (20 * 5y + 3y * 5y)) = 0 (120 + 18y + (100y + 15y2)) = 0 Combine like terms: 18y + 100y = 118y (120 + 118y + 15y2) = 0 Solving 120 + 118y + 15y2 = 0 Solving for variable 'y'. Factor a trinomial. (20 + 3y)(6 + 5y) = 0Subproblem 1
Set the factor '(20 + 3y)' equal to zero and attempt to solve: Simplifying 20 + 3y = 0 Solving 20 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 3y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 3y = 0 + -20 3y = 0 + -20 Combine like terms: 0 + -20 = -20 3y = -20 Divide each side by '3'. y = -6.666666667 Simplifying y = -6.666666667Subproblem 2
Set the factor '(6 + 5y)' equal to zero and attempt to solve: Simplifying 6 + 5y = 0 Solving 6 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5y = 0 + -6 5y = 0 + -6 Combine like terms: 0 + -6 = -6 5y = -6 Divide each side by '5'. y = -1.2 Simplifying y = -1.2Solution
y = {-6.666666667, -1.2}
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