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Simplifying 4y2 + -6y + 8y2 + -5y = 0 Reorder the terms: -6y + -5y + 4y2 + 8y2 = 0 Combine like terms: -6y + -5y = -11y -11y + 4y2 + 8y2 = 0 Combine like terms: 4y2 + 8y2 = 12y2 -11y + 12y2 = 0 Solving -11y + 12y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-11 + 12y) = 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 '(-11 + 12y)' equal to zero and attempt to solve: Simplifying -11 + 12y = 0 Solving -11 + 12y = 0 Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 12y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 12y = 0 + 11 12y = 0 + 11 Combine like terms: 0 + 11 = 11 12y = 11 Divide each side by '12'. y = 0.9166666667 Simplifying y = 0.9166666667Solution
y = {0, 0.9166666667}
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