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Simplifying 100x2y = 25x Solving 100x2y = 25x Solving for variable 'x'. Reorder the terms: -25x + 100x2y = 25x + -25x Combine like terms: 25x + -25x = 0 -25x + 100x2y = 0 Factor out the Greatest Common Factor (GCF), '25x'. 25x(-1 + 4xy) = 0 Ignore the factor 25.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1 + 4xy)' equal to zero and attempt to solve: Simplifying -1 + 4xy = 0 Solving -1 + 4xy = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4xy = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4xy = 0 + 1 4xy = 0 + 1 Combine like terms: 0 + 1 = 1 4xy = 1 Divide each side by '4y'. x = 0.25y-1 Simplifying x = 0.25y-1Solution
x = {0, 0.25y-1}
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