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Simplifying -3y(2y + 5) = 0 Reorder the terms: -3y(5 + 2y) = 0 (5 * -3y + 2y * -3y) = 0 (-15y + -6y2) = 0 Solving -15y + -6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-3y'. -3y(5 + 2y) = 0 Ignore the factor -3.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 + 2y)' equal to zero and attempt to solve: Simplifying 5 + 2y = 0 Solving 5 + 2y = 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 + 2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 0 + -5 2y = 0 + -5 Combine like terms: 0 + -5 = -5 2y = -5 Divide each side by '2'. y = -2.5 Simplifying y = -2.5Solution
y = {0, -2.5}
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