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Simplifying 3x2(-7xy + 6y2) = 0 (-7xy * 3x2 + 6y2 * 3x2) = 0 Reorder the terms: (18x2y2 + -21x3y) = 0 (18x2y2 + -21x3y) = 0 Solving 18x2y2 + -21x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2y'. 3x2y(6y + -7x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(6y + -7x)' equal to zero and attempt to solve: Simplifying 6y + -7x = 0 Reorder the terms: -7x + 6y = 0 Solving -7x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. -7x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 -7x + 0 = 0 + -6y -7x = 0 + -6y Remove the zero: -7x = -6y Divide each side by '-7'. x = 0.8571428571y Simplifying x = 0.8571428571ySolution
x = {0.8571428571y}
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