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Simplifying 2y2 + 7y + 4y + 6y2 = 0 Reorder the terms: 7y + 4y + 2y2 + 6y2 = 0 Combine like terms: 7y + 4y = 11y 11y + 2y2 + 6y2 = 0 Combine like terms: 2y2 + 6y2 = 8y2 11y + 8y2 = 0 Solving 11y + 8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(11 + 8y) = 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 + 8y)' equal to zero and attempt to solve: Simplifying 11 + 8y = 0 Solving 11 + 8y = 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 + 8y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 8y = 0 + -11 8y = 0 + -11 Combine like terms: 0 + -11 = -11 8y = -11 Divide each side by '8'. y = -1.375 Simplifying y = -1.375Solution
y = {0, -1.375}
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