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Simplifying 10y2 + 32y = 0 Reorder the terms: 32y + 10y2 = 0 Solving 32y + 10y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(16 + 5y) = 0 Ignore the factor 2.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 '(16 + 5y)' equal to zero and attempt to solve: Simplifying 16 + 5y = 0 Solving 16 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 5y = 0 + -16 5y = 0 + -16 Combine like terms: 0 + -16 = -16 5y = -16 Divide each side by '5'. y = -3.2 Simplifying y = -3.2Solution
y = {0, -3.2}
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