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Simplifying -6y(3y + 5) = 0 Reorder the terms: -6y(5 + 3y) = 0 (5 * -6y + 3y * -6y) = 0 (-30y + -18y2) = 0 Solving -30y + -18y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-6y'. -6y(5 + 3y) = 0 Ignore the factor -6.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 '(5 + 3y)' equal to zero and attempt to solve: Simplifying 5 + 3y = 0 Solving 5 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3y = 0 + -5 3y = 0 + -5 Combine like terms: 0 + -5 = -5 3y = -5 Divide each side by '3'. y = -1.666666667 Simplifying y = -1.666666667Solution
y = {0, -1.666666667}
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