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Simplifying 200y2 + -180y = 0 Reorder the terms: -180y + 200y2 = 0 Solving -180y + 200y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '20y'. 20y(-9 + 10y) = 0 Ignore the factor 20.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 '(-9 + 10y)' equal to zero and attempt to solve: Simplifying -9 + 10y = 0 Solving -9 + 10y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 10y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 10y = 0 + 9 10y = 0 + 9 Combine like terms: 0 + 9 = 9 10y = 9 Divide each side by '10'. y = 0.9 Simplifying y = 0.9Solution
y = {0, 0.9}
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