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Simplifying 3y2 + 4y2 + 4y = 0 Reorder the terms: 4y + 3y2 + 4y2 = 0 Combine like terms: 3y2 + 4y2 = 7y2 4y + 7y2 = 0 Solving 4y + 7y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(4 + 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 '(4 + 7y)' equal to zero and attempt to solve: Simplifying 4 + 7y = 0 Solving 4 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7y = 0 + -4 7y = 0 + -4 Combine like terms: 0 + -4 = -4 7y = -4 Divide each side by '7'. y = -0.5714285714 Simplifying y = -0.5714285714Solution
y = {0, -0.5714285714}
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