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Simplifying 5y(8y + -3) = 0 Reorder the terms: 5y(-3 + 8y) = 0 (-3 * 5y + 8y * 5y) = 0 (-15y + 40y2) = 0 Solving -15y + 40y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y'. 5y(-3 + 8y) = 0 Ignore the factor 5.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 + 8y)' equal to zero and attempt to solve: Simplifying -3 + 8y = 0 Solving -3 + 8y = 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 + 8y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8y = 0 + 3 8y = 0 + 3 Combine like terms: 0 + 3 = 3 8y = 3 Divide each side by '8'. y = 0.375 Simplifying y = 0.375Solution
y = {0, 0.375}
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