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Simplifying 5y(5y + -3) + 7y = 0 Reorder the terms: 5y(-3 + 5y) + 7y = 0 (-3 * 5y + 5y * 5y) + 7y = 0 (-15y + 25y2) + 7y = 0 Reorder the terms: -15y + 7y + 25y2 = 0 Combine like terms: -15y + 7y = -8y -8y + 25y2 = 0 Solving -8y + 25y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-8 + 25y) = 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 '(-8 + 25y)' equal to zero and attempt to solve: Simplifying -8 + 25y = 0 Solving -8 + 25y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 25y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 25y = 0 + 8 25y = 0 + 8 Combine like terms: 0 + 8 = 8 25y = 8 Divide each side by '25'. y = 0.32 Simplifying y = 0.32Solution
y = {0, 0.32}
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