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Simplifying -10y7 + 6y10 + -4y10x + -8y8x = 0 Reorder the terms: -8xy8 + -4xy10 + -10y7 + 6y10 = 0 Solving -8xy8 + -4xy10 + -10y7 + 6y10 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y7' to each side of the equation. -8xy8 + -4xy10 + -10y7 + 10y7 + 6y10 = 0 + 10y7 Combine like terms: -10y7 + 10y7 = 0 -8xy8 + -4xy10 + 0 + 6y10 = 0 + 10y7 -8xy8 + -4xy10 + 6y10 = 0 + 10y7 Remove the zero: -8xy8 + -4xy10 + 6y10 = 10y7 Add '-6y10' to each side of the equation. -8xy8 + -4xy10 + 6y10 + -6y10 = 10y7 + -6y10 Combine like terms: 6y10 + -6y10 = 0 -8xy8 + -4xy10 + 0 = 10y7 + -6y10 -8xy8 + -4xy10 = 10y7 + -6y10 Reorder the terms: -8xy8 + -4xy10 + -10y7 + 6y10 = 10y7 + -10y7 + -6y10 + 6y10 Combine like terms: 10y7 + -10y7 = 0 -8xy8 + -4xy10 + -10y7 + 6y10 = 0 + -6y10 + 6y10 -8xy8 + -4xy10 + -10y7 + 6y10 = -6y10 + 6y10 Combine like terms: -6y10 + 6y10 = 0 -8xy8 + -4xy10 + -10y7 + 6y10 = 0 Factor out the Greatest Common Factor (GCF), '2y7'. 2y7(-4xy + -2xy3 + -5 + 3y3) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y7' equal to zero and attempt to solve: Simplifying y7 = 0 Solving y7 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y7' to each side of the equation. y7 + -1y7 = 0 + -1y7 Remove the zero: 0 = -1y7 Simplifying 0 = -1y7 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 '(-4xy + -2xy3 + -5 + 3y3)' equal to zero and attempt to solve: Simplifying -4xy + -2xy3 + -5 + 3y3 = 0 Reorder the terms: -5 + -4xy + -2xy3 + 3y3 = 0 Solving -5 + -4xy + -2xy3 + 3y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -4xy + -2xy3 + 5 + 3y3 = 0 + 5 Reorder the terms: -5 + 5 + -4xy + -2xy3 + 3y3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4xy + -2xy3 + 3y3 = 0 + 5 -4xy + -2xy3 + 3y3 = 0 + 5 Combine like terms: 0 + 5 = 5 -4xy + -2xy3 + 3y3 = 5 Add '-3y3' to each side of the equation. -4xy + -2xy3 + 3y3 + -3y3 = 5 + -3y3 Combine like terms: 3y3 + -3y3 = 0 -4xy + -2xy3 + 0 = 5 + -3y3 -4xy + -2xy3 = 5 + -3y3 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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