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Simplifying 5y2 + -19y2 + -4y = 0 Reorder the terms: -4y + 5y2 + -19y2 = 0 Combine like terms: 5y2 + -19y2 = -14y2 -4y + -14y2 = 0 Solving -4y + -14y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-2y'. -2y(2 + 7y) = 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 '(2 + 7y)' equal to zero and attempt to solve: Simplifying 2 + 7y = 0 Solving 2 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7y = 0 + -2 7y = 0 + -2 Combine like terms: 0 + -2 = -2 7y = -2 Divide each side by '7'. y = -0.2857142857 Simplifying y = -0.2857142857Solution
y = {0, -0.2857142857}
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