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Simplifying 6y(3y + -6) + 29y = 0 Reorder the terms: 6y(-6 + 3y) + 29y = 0 (-6 * 6y + 3y * 6y) + 29y = 0 (-36y + 18y2) + 29y = 0 Reorder the terms: -36y + 29y + 18y2 = 0 Combine like terms: -36y + 29y = -7y -7y + 18y2 = 0 Solving -7y + 18y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-7 + 18y) = 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 '(-7 + 18y)' equal to zero and attempt to solve: Simplifying -7 + 18y = 0 Solving -7 + 18y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 18y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 18y = 0 + 7 18y = 0 + 7 Combine like terms: 0 + 7 = 7 18y = 7 Divide each side by '18'. y = 0.3888888889 Simplifying y = 0.3888888889Solution
y = {0, 0.3888888889}
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