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Simplifying G(-3x) = 9x Remove parenthesis around (-3x) G * -3x = 9x Reorder the terms for easier multiplication: -3G * x = 9x Multiply G * x -3xG = 9x Solving -3xG = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -9x + -3xG = 9x + -9x Combine like terms: 9x + -9x = 0 -9x + -3xG = 0 Factor out the Greatest Common Factor (GCF), '-3x'. -3x(3 + G) = 0 Ignore the factor -3.Subproblem 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 '(3 + G)' equal to zero and attempt to solve: Simplifying 3 + G = 0 Solving 3 + G = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + G = 0 + -3 Combine like terms: 3 + -3 = 0 0 + G = 0 + -3 G = 0 + -3 Combine like terms: 0 + -3 = -3 G = -3 Add '-1G' to each side of the equation. G + -1G = -3 + -1G Combine like terms: G + -1G = 0 0 = -3 + -1G Simplifying 0 = -3 + -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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