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Simplifying (5y2 + -2y) + (9y2 + -9y) = 0 Reorder the terms: (-2y + 5y2) + (9y2 + -9y) = 0 Remove parenthesis around (-2y + 5y2) -2y + 5y2 + (9y2 + -9y) = 0 Reorder the terms: -2y + 5y2 + (-9y + 9y2) = 0 Remove parenthesis around (-9y + 9y2) -2y + 5y2 + -9y + 9y2 = 0 Reorder the terms: -2y + -9y + 5y2 + 9y2 = 0 Combine like terms: -2y + -9y = -11y -11y + 5y2 + 9y2 = 0 Combine like terms: 5y2 + 9y2 = 14y2 -11y + 14y2 = 0 Solving -11y + 14y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-11 + 14y) = 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 + 14y)' equal to zero and attempt to solve: Simplifying -11 + 14y = 0 Solving -11 + 14y = 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 + 14y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 14y = 0 + 11 14y = 0 + 11 Combine like terms: 0 + 11 = 11 14y = 11 Divide each side by '14'. y = 0.7857142857 Simplifying y = 0.7857142857Solution
y = {0, 0.7857142857}
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