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Simplifying y2 + 3y2 + 6y + 4y2 = 0 Reorder the terms: 6y + y2 + 3y2 + 4y2 = 0 Combine like terms: y2 + 3y2 = 4y2 6y + 4y2 + 4y2 = 0 Combine like terms: 4y2 + 4y2 = 8y2 6y + 8y2 = 0 Solving 6y + 8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(3 + 4y) = 0 Ignore the factor 2.Subproblem 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 '(3 + 4y)' equal to zero and attempt to solve: Simplifying 3 + 4y = 0 Solving 3 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4y = 0 + -3 4y = 0 + -3 Combine like terms: 0 + -3 = -3 4y = -3 Divide each side by '4'. y = -0.75 Simplifying y = -0.75Solution
y = {0, -0.75}
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