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Simplifying G(x) = x10 + x7 Multiply G * x xG = x10 + x7 Reorder the terms: xG = x7 + x10 Solving xG = x7 + x10 Solving for variable 'x'. Reorder the terms: xG + -1x7 + -1x10 = x7 + -1x7 + x10 + -1x10 Combine like terms: x7 + -1x7 = 0 xG + -1x7 + -1x10 = 0 + x10 + -1x10 xG + -1x7 + -1x10 = x10 + -1x10 Combine like terms: x10 + -1x10 = 0 xG + -1x7 + -1x10 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(G + -1x6 + -1x9) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(G + -1x6 + -1x9)' equal to zero and attempt to solve: Simplifying G + -1x6 + -1x9 = 0 Solving G + -1x6 + -1x9 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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