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Simplifying (3y + 8)(9y + y) = 0 Reorder the terms: (8 + 3y)(9y + y) = 0 Combine like terms: 9y + y = 10y (8 + 3y)(10y) = 0 Remove parenthesis around (10y) (8 + 3y) * 10y = 0 Reorder the terms for easier multiplication: 10y(8 + 3y) = 0 (8 * 10y + 3y * 10y) = 0 (80y + 30y2) = 0 Solving 80y + 30y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '10y'. 10y(8 + 3y) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(8 + 3y)' equal to zero and attempt to solve: Simplifying 8 + 3y = 0 Solving 8 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3y = 0 + -8 3y = 0 + -8 Combine like terms: 0 + -8 = -8 3y = -8 Divide each side by '3'. y = -2.666666667 Simplifying y = -2.666666667Solution
y = {0, -2.666666667}
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