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Simplifying -6y(5y + 3) = 0 Reorder the terms: -6y(3 + 5y) = 0 (3 * -6y + 5y * -6y) = 0 (-18y + -30y2) = 0 Solving -18y + -30y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-6y'. -6y(3 + 5y) = 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 '(3 + 5y)' equal to zero and attempt to solve: Simplifying 3 + 5y = 0 Solving 3 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5y = 0 + -3 5y = 0 + -3 Combine like terms: 0 + -3 = -3 5y = -3 Divide each side by '5'. y = -0.6 Simplifying y = -0.6Solution
y = {0, -0.6}
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