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Simplifying 120x8 + 138x4y4 + -126y8 = 0 Reorder the terms: 138x4y4 + 120x8 + -126y8 = 0 Solving 138x4y4 + 120x8 + -126y8 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(23x4y4 + 20x8 + -21y8) = 0 Factor a trinomial. 6((5x4 + -3y4)(4x4 + 7y4)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(5x4 + -3y4)' equal to zero and attempt to solve: Simplifying 5x4 + -3y4 = 0 Solving 5x4 + -3y4 = 0 Move all terms containing x to the left, all other terms to the right. Add '3y4' to each side of the equation. 5x4 + -3y4 + 3y4 = 0 + 3y4 Combine like terms: -3y4 + 3y4 = 0 5x4 + 0 = 0 + 3y4 5x4 = 0 + 3y4 Remove the zero: 5x4 = 3y4 Divide each side by '5'. x4 = 0.6y4 Simplifying x4 = 0.6y4 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 '(4x4 + 7y4)' equal to zero and attempt to solve: Simplifying 4x4 + 7y4 = 0 Solving 4x4 + 7y4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y4' to each side of the equation. 4x4 + 7y4 + -7y4 = 0 + -7y4 Combine like terms: 7y4 + -7y4 = 0 4x4 + 0 = 0 + -7y4 4x4 = 0 + -7y4 Remove the zero: 4x4 = -7y4 Divide each side by '4'. x4 = -1.75y4 Simplifying x4 = -1.75y4 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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