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Simplifying 4xy = 8x2 Solving 4xy = 8x2 Solving for variable 'x'. Combine like terms: 8x2 + -8x2 = 0 4xy + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(y + -2x) = 0 Ignore the factor 4.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 '(y + -2x)' equal to zero and attempt to solve: Simplifying y + -2x = 0 Reorder the terms: -2x + y = 0 Solving -2x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -2x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -2x + 0 = 0 + -1y -2x = 0 + -1y Remove the zero: -2x = -1y Divide each side by '-2'. x = 0.5y Simplifying x = 0.5ySolution
x = {0, 0.5y}
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