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Simplifying G(x) = 8x3 + -4x Multiply G * x xG = 8x3 + -4x Reorder the terms: xG = -4x + 8x3 Solving xG = -4x + 8x3 Solving for variable 'x'. Reorder the terms: 4x + xG + -8x3 = -4x + 8x3 + 4x + -8x3 Reorder the terms: 4x + xG + -8x3 = -4x + 4x + 8x3 + -8x3 Combine like terms: -4x + 4x = 0 4x + xG + -8x3 = 0 + 8x3 + -8x3 4x + xG + -8x3 = 8x3 + -8x3 Combine like terms: 8x3 + -8x3 = 0 4x + xG + -8x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(4 + G + -8x2) = 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 '(4 + G + -8x2)' equal to zero and attempt to solve: Simplifying 4 + G + -8x2 = 0 Solving 4 + G + -8x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + G + -4 + -8x2 = 0 + -4 Reorder the terms: 4 + -4 + G + -8x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + G + -8x2 = 0 + -4 G + -8x2 = 0 + -4 Combine like terms: 0 + -4 = -4 G + -8x2 = -4 Add '-1G' to each side of the equation. G + -1G + -8x2 = -4 + -1G Combine like terms: G + -1G = 0 0 + -8x2 = -4 + -1G -8x2 = -4 + -1G Divide each side by '-8'. x2 = 0.5 + 0.125G Simplifying x2 = 0.5 + 0.125G 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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