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Simplifying 25y2 = 5xy Solving 25y2 = 5xy Solving for variable 'y'. Reorder the terms: -5xy + 25y2 = 5xy + -5xy Combine like terms: 5xy + -5xy = 0 -5xy + 25y2 = 0 Factor out the Greatest Common Factor (GCF), '5y'. 5y(-1x + 5y) = 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 '(-1x + 5y)' equal to zero and attempt to solve: Simplifying -1x + 5y = 0 Solving -1x + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + x + 5y = 0 + x Combine like terms: -1x + x = 0 0 + 5y = 0 + x 5y = 0 + x Remove the zero: 5y = x Divide each side by '5'. y = 0.2x Simplifying y = 0.2xSolution
y = {0, 0.2x}
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