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Simplifying 8y2 + -3y + 5y2 + -6y = 0 Reorder the terms: -3y + -6y + 8y2 + 5y2 = 0 Combine like terms: -3y + -6y = -9y -9y + 8y2 + 5y2 = 0 Combine like terms: 8y2 + 5y2 = 13y2 -9y + 13y2 = 0 Solving -9y + 13y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-9 + 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 '(-9 + 13y)' equal to zero and attempt to solve: Simplifying -9 + 13y = 0 Solving -9 + 13y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 13y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 13y = 0 + 9 13y = 0 + 9 Combine like terms: 0 + 9 = 9 13y = 9 Divide each side by '13'. y = 0.6923076923 Simplifying y = 0.6923076923Solution
y = {0, 0.6923076923}
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