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Simplifying 8XY = 2X2 Solving 8XY = 2X2 Solving for variable 'X'. Combine like terms: 2X2 + -2X2 = 0 8XY + -2X2 = 0 Factor out the Greatest Common Factor (GCF), '2X'. 2X(4Y + -1X) = 0 Ignore the factor 2.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 '(4Y + -1X)' equal to zero and attempt to solve: Simplifying 4Y + -1X = 0 Reorder the terms: -1X + 4Y = 0 Solving -1X + 4Y = 0 Move all terms containing X to the left, all other terms to the right. Add '-4Y' to each side of the equation. -1X + 4Y + -4Y = 0 + -4Y Combine like terms: 4Y + -4Y = 0 -1X + 0 = 0 + -4Y -1X = 0 + -4Y Remove the zero: -1X = -4Y Divide each side by '-1'. X = 4Y Simplifying X = 4YSolution
X = {0, 4Y}
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