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Simplifying 3x2y = 2x3 Solving 3x2y = 2x3 Solving for variable 'x'. Combine like terms: 2x3 + -2x3 = 0 3x2y + -2x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(3y + -2x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(3y + -2x)' equal to zero and attempt to solve: Simplifying 3y + -2x = 0 Reorder the terms: -2x + 3y = 0 Solving -2x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. -2x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 -2x + 0 = 0 + -3y -2x = 0 + -3y Remove the zero: -2x = -3y Divide each side by '-2'. x = 1.5y Simplifying x = 1.5ySolution
x = {0, 1.5y}
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