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Simplifying 5y2 + -4y + 8y2 + -6y = 0 Reorder the terms: -4y + -6y + 5y2 + 8y2 = 0 Combine like terms: -4y + -6y = -10y -10y + 5y2 + 8y2 = 0 Combine like terms: 5y2 + 8y2 = 13y2 -10y + 13y2 = 0 Solving -10y + 13y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-10 + 13y) = 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 '(-10 + 13y)' equal to zero and attempt to solve: Simplifying -10 + 13y = 0 Solving -10 + 13y = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 13y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 13y = 0 + 10 13y = 0 + 10 Combine like terms: 0 + 10 = 10 13y = 10 Divide each side by '13'. y = 0.7692307692 Simplifying y = 0.7692307692Solution
y = {0, 0.7692307692}
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