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Simplifying 5y(7y + -3) + 10y = 0 Reorder the terms: 5y(-3 + 7y) + 10y = 0 (-3 * 5y + 7y * 5y) + 10y = 0 (-15y + 35y2) + 10y = 0 Reorder the terms: -15y + 10y + 35y2 = 0 Combine like terms: -15y + 10y = -5y -5y + 35y2 = 0 Solving -5y + 35y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y'. 5y(-1 + 7y) = 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 '(-1 + 7y)' equal to zero and attempt to solve: Simplifying -1 + 7y = 0 Solving -1 + 7y = 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 + 7y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7y = 0 + 1 7y = 0 + 1 Combine like terms: 0 + 1 = 1 7y = 1 Divide each side by '7'. y = 0.1428571429 Simplifying y = 0.1428571429Solution
y = {0, 0.1428571429}
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