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Simplifying F(x) = 6x + -2andg(x) Multiply F * x xF = 6x + -2andg(x) Multiply adgn * x xF = 6x + -2adgnx Reorder the terms: xF = -2adgnx + 6x Solving xF = -2adgnx + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2adgnx' to each side of the equation. 2adgnx + xF = -2adgnx + 2adgnx + 6x Combine like terms: -2adgnx + 2adgnx = 0 2adgnx + xF = 0 + 6x 2adgnx + xF = 6x Add '-6x' to each side of the equation. 2adgnx + -6x + xF = 6x + -6x Combine like terms: 6x + -6x = 0 2adgnx + -6x + xF = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(2adgn + -6 + F) = 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 '(2adgn + -6 + F)' equal to zero and attempt to solve: Simplifying 2adgn + -6 + F = 0 Reorder the terms: -6 + F + 2adgn = 0 Solving -6 + F + 2adgn = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + F + 6 + 2adgn = 0 + 6 Reorder the terms: -6 + 6 + F + 2adgn = 0 + 6 Combine like terms: -6 + 6 = 0 0 + F + 2adgn = 0 + 6 F + 2adgn = 0 + 6 Combine like terms: 0 + 6 = 6 F + 2adgn = 6 Add '-1F' to each side of the equation. F + -1F + 2adgn = 6 + -1F Combine like terms: F + -1F = 0 0 + 2adgn = 6 + -1F 2adgn = 6 + -1F Add '-2adgn' to each side of the equation. 2adgn + -2adgn = 6 + -1F + -2adgn Combine like terms: 2adgn + -2adgn = 0 0 = 6 + -1F + -2adgn Simplifying 0 = 6 + -1F + -2adgn 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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