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Simplifying 5y(8y + -4) + 17y = 0 Reorder the terms: 5y(-4 + 8y) + 17y = 0 (-4 * 5y + 8y * 5y) + 17y = 0 (-20y + 40y2) + 17y = 0 Reorder the terms: -20y + 17y + 40y2 = 0 Combine like terms: -20y + 17y = -3y -3y + 40y2 = 0 Solving -3y + 40y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-3 + 40y) = 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 + 40y)' equal to zero and attempt to solve: Simplifying -3 + 40y = 0 Solving -3 + 40y = 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 + 40y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 40y = 0 + 3 40y = 0 + 3 Combine like terms: 0 + 3 = 3 40y = 3 Divide each side by '40'. y = 0.075 Simplifying y = 0.075Solution
y = {0, 0.075}
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