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Simplifying (9y2 + -3y + 5y) + (y2 + 6y2 + 9y) = 0 Reorder the terms: (-3y + 5y + 9y2) + (y2 + 6y2 + 9y) = 0 Combine like terms: -3y + 5y = 2y (2y + 9y2) + (y2 + 6y2 + 9y) = 0 Remove parenthesis around (2y + 9y2) 2y + 9y2 + (y2 + 6y2 + 9y) = 0 Reorder the terms: 2y + 9y2 + (9y + y2 + 6y2) = 0 Combine like terms: y2 + 6y2 = 7y2 2y + 9y2 + (9y + 7y2) = 0 Remove parenthesis around (9y + 7y2) 2y + 9y2 + 9y + 7y2 = 0 Reorder the terms: 2y + 9y + 9y2 + 7y2 = 0 Combine like terms: 2y + 9y = 11y 11y + 9y2 + 7y2 = 0 Combine like terms: 9y2 + 7y2 = 16y2 11y + 16y2 = 0 Solving 11y + 16y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(11 + 16y) = 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 + 16y)' equal to zero and attempt to solve: Simplifying 11 + 16y = 0 Solving 11 + 16y = 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 + 16y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 16y = 0 + -11 16y = 0 + -11 Combine like terms: 0 + -11 = -11 16y = -11 Divide each side by '16'. y = -0.6875 Simplifying y = -0.6875Solution
y = {0, -0.6875}
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