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Simplifying 21y6x2 + -14y3x4 = 0 Solving 21x2y6 + -14x4y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x2y3'. 7x2y3(3y3 + -2x2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x2y3' equal to zero and attempt to solve: Simplifying x2y3 = 0 Solving x2y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y3 = 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 '(3y3 + -2x2)' equal to zero and attempt to solve: Simplifying 3y3 + -2x2 = 0 Reorder the terms: -2x2 + 3y3 = 0 Solving -2x2 + 3y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y3' to each side of the equation. -2x2 + 3y3 + -3y3 = 0 + -3y3 Combine like terms: 3y3 + -3y3 = 0 -2x2 + 0 = 0 + -3y3 -2x2 = 0 + -3y3 Remove the zero: -2x2 = -3y3 Divide each side by '-2'. x2 = 1.5y3 Simplifying x2 = 1.5y3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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