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Simplifying G(x) = (6x + -3) + 3 Multiply G * x xG = (6x + -3) + 3 Reorder the terms: xG = (-3 + 6x) + 3 Remove parenthesis around (-3 + 6x) xG = -3 + 6x + 3 Reorder the terms: xG = -3 + 3 + 6x Combine like terms: -3 + 3 = 0 xG = 0 + 6x xG = 6x Solving xG = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6x + xG = 6x + -6x Combine like terms: 6x + -6x = 0 -6x + xG = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-6 + 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 '(-6 + G)' equal to zero and attempt to solve: Simplifying -6 + G = 0 Solving -6 + G = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + G = 0 + 6 Combine like terms: -6 + 6 = 0 0 + G = 0 + 6 G = 0 + 6 Combine like terms: 0 + 6 = 6 G = 6 Add '-1G' to each side of the equation. G + -1G = 6 + -1G Combine like terms: G + -1G = 0 0 = 6 + -1G Simplifying 0 = 6 + -1G 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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