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Simplifying G(x) = 6e3x Multiply G * x xG = 6e3x Solving xG = 6e3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6e3x' to each side of the equation. -6e3x + xG = 6e3x + -6e3x Combine like terms: 6e3x + -6e3x = 0 -6e3x + xG = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-6e3 + G) = 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 '(-6e3 + G)' equal to zero and attempt to solve: Simplifying -6e3 + G = 0 Reorder the terms: G + -6e3 = 0 Solving G + -6e3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1G' to each side of the equation. G + -1G + -6e3 = 0 + -1G Combine like terms: G + -1G = 0 0 + -6e3 = 0 + -1G -6e3 = 0 + -1G Remove the zero: -6e3 = -1G Add '6e3' to each side of the equation. -6e3 + 6e3 = -1G + 6e3 Combine like terms: -6e3 + 6e3 = 0 0 = -1G + 6e3 Simplifying 0 = -1G + 6e3 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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