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Simplifying 10y2 + 48y + 0 = 0 Reorder the terms: 0 + 48y + 10y2 = 0 Remove the zero: 48y + 10y2 = 0 Solving 48y + 10y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(24 + 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 '(24 + 5y)' equal to zero and attempt to solve: Simplifying 24 + 5y = 0 Solving 24 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 5y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 5y = 0 + -24 5y = 0 + -24 Combine like terms: 0 + -24 = -24 5y = -24 Divide each side by '5'. y = -4.8 Simplifying y = -4.8Solution
y = {0, -4.8}
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