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Simplifying 0 = 6x4y6 + -6x5y5 + 42x3y6 + -42x4y5 Reorder the terms: 0 = 42x3y6 + -42x4y5 + 6x4y6 + -6x5y5 Solving 0 = 42x3y6 + -42x4y5 + 6x4y6 + -6x5y5 Solving for variable 'x'. Remove the zero: -42x3y6 + 42x4y5 + -6x4y6 + 6x5y5 = 42x3y6 + -42x4y5 + 6x4y6 + -6x5y5 + -42x3y6 + 42x4y5 + -6x4y6 + 6x5y5 Reorder the terms: -42x3y6 + 42x4y5 + -6x4y6 + 6x5y5 = 42x3y6 + -42x3y6 + -42x4y5 + 42x4y5 + 6x4y6 + -6x4y6 + -6x5y5 + 6x5y5 Combine like terms: 42x3y6 + -42x3y6 = 0 -42x3y6 + 42x4y5 + -6x4y6 + 6x5y5 = 0 + -42x4y5 + 42x4y5 + 6x4y6 + -6x4y6 + -6x5y5 + 6x5y5 -42x3y6 + 42x4y5 + -6x4y6 + 6x5y5 = -42x4y5 + 42x4y5 + 6x4y6 + -6x4y6 + -6x5y5 + 6x5y5 Combine like terms: -42x4y5 + 42x4y5 = 0 -42x3y6 + 42x4y5 + -6x4y6 + 6x5y5 = 0 + 6x4y6 + -6x4y6 + -6x5y5 + 6x5y5 -42x3y6 + 42x4y5 + -6x4y6 + 6x5y5 = 6x4y6 + -6x4y6 + -6x5y5 + 6x5y5 Combine like terms: 6x4y6 + -6x4y6 = 0 -42x3y6 + 42x4y5 + -6x4y6 + 6x5y5 = 0 + -6x5y5 + 6x5y5 -42x3y6 + 42x4y5 + -6x4y6 + 6x5y5 = -6x5y5 + 6x5y5 Combine like terms: -6x5y5 + 6x5y5 = 0 -42x3y6 + 42x4y5 + -6x4y6 + 6x5y5 = 0 Factor out the Greatest Common Factor (GCF), '6x3y5'. 6x3y5(-7y + 7x + -1xy + x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x3y5' equal to zero and attempt to solve: Simplifying x3y5 = 0 Solving x3y5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y5 = 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 '(-7y + 7x + -1xy + x2)' equal to zero and attempt to solve: Simplifying -7y + 7x + -1xy + x2 = 0 Reorder the terms: 7x + -1xy + x2 + -7y = 0 Solving 7x + -1xy + x2 + -7y = 0 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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