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Simplifying 20y2 = -8y Solving 20y2 = -8y Solving for variable 'y'. Reorder the terms: 8y + 20y2 = -8y + 8y Combine like terms: -8y + 8y = 0 8y + 20y2 = 0 Factor out the Greatest Common Factor (GCF), '4y'. 4y(2 + 5y) = 0 Ignore the factor 4.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 + 5y)' equal to zero and attempt to solve: Simplifying 2 + 5y = 0 Solving 2 + 5y = 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 + 5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = 0 + -2 5y = 0 + -2 Combine like terms: 0 + -2 = -2 5y = -2 Divide each side by '5'. y = -0.4 Simplifying y = -0.4Solution
y = {0, -0.4}
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