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Simplifying 4y(5y + -8) + 28y = 0 Reorder the terms: 4y(-8 + 5y) + 28y = 0 (-8 * 4y + 5y * 4y) + 28y = 0 (-32y + 20y2) + 28y = 0 Reorder the terms: -32y + 28y + 20y2 = 0 Combine like terms: -32y + 28y = -4y -4y + 20y2 = 0 Solving -4y + 20y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(-1 + 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 '(-1 + 5y)' equal to zero and attempt to solve: Simplifying -1 + 5y = 0 Solving -1 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5y = 0 + 1 5y = 0 + 1 Combine like terms: 0 + 1 = 1 5y = 1 Divide each side by '5'. y = 0.2 Simplifying y = 0.2Solution
y = {0, 0.2}
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