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Simplifying 2y2 + -8y + 5y2 + -3y = 0 Reorder the terms: -8y + -3y + 2y2 + 5y2 = 0 Combine like terms: -8y + -3y = -11y -11y + 2y2 + 5y2 = 0 Combine like terms: 2y2 + 5y2 = 7y2 -11y + 7y2 = 0 Solving -11y + 7y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-11 + 7y) = 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 + 7y)' equal to zero and attempt to solve: Simplifying -11 + 7y = 0 Solving -11 + 7y = 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 + 7y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 7y = 0 + 11 7y = 0 + 11 Combine like terms: 0 + 11 = 11 7y = 11 Divide each side by '7'. y = 1.571428571 Simplifying y = 1.571428571Solution
y = {0, 1.571428571}
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