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Simplifying 33y2 + 15y = 0 Reorder the terms: 15y + 33y2 = 0 Solving 15y + 33y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(5 + 11y) = 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 + 11y)' equal to zero and attempt to solve: Simplifying 5 + 11y = 0 Solving 5 + 11y = 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 + 11y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 11y = 0 + -5 11y = 0 + -5 Combine like terms: 0 + -5 = -5 11y = -5 Divide each side by '11'. y = -0.4545454545 Simplifying y = -0.4545454545Solution
y = {0, -0.4545454545}
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