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Simplifying 5y + 3y2 + -2y + 4y2 = 0 Reorder the terms: 5y + -2y + 3y2 + 4y2 = 0 Combine like terms: 5y + -2y = 3y 3y + 3y2 + 4y2 = 0 Combine like terms: 3y2 + 4y2 = 7y2 3y + 7y2 = 0 Solving 3y + 7y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(3 + 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 '(3 + 7y)' equal to zero and attempt to solve: Simplifying 3 + 7y = 0 Solving 3 + 7y = 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 + 7y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7y = 0 + -3 7y = 0 + -3 Combine like terms: 0 + -3 = -3 7y = -3 Divide each side by '7'. y = -0.4285714286 Simplifying y = -0.4285714286Solution
y = {0, -0.4285714286}
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