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Simplifying 5y2 + -13y = 0 Reorder the terms: -13y + 5y2 = 0 Solving -13y + 5y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-13 + 5y) = 0Subproblem 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 '(-13 + 5y)' equal to zero and attempt to solve: Simplifying -13 + 5y = 0 Solving -13 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 5y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 5y = 0 + 13 5y = 0 + 13 Combine like terms: 0 + 13 = 13 5y = 13 Divide each side by '5'. y = 2.6 Simplifying y = 2.6Solution
y = {0, 2.6}
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