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Simplifying 14xy = 6x2 Solving 14xy = 6x2 Solving for variable 'x'. Combine like terms: 6x2 + -6x2 = 0 14xy + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(7y + -3x) = 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 '(7y + -3x)' equal to zero and attempt to solve: Simplifying 7y + -3x = 0 Reorder the terms: -3x + 7y = 0 Solving -3x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. -3x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 -3x + 0 = 0 + -7y -3x = 0 + -7y Remove the zero: -3x = -7y Divide each side by '-3'. x = 2.333333333y Simplifying x = 2.333333333ySolution
x = {0, 2.333333333y}
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