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Simplifying 4x(e3x) = 8 Multiply x * e3x 4e3x2 = 8 Solving 4e3x2 = 8 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Divide each side by '4x2'. e3 = 2x-2 Simplifying e3 = 2x-2 Combine like terms: 2x-2 + -2x-2 = 0 e3 + -2x-2 = 0 Factor out the Greatest Common Factor (GCF), 'x-2'. x-2(e3x2 + -2) = 0Subproblem 1
Set the factor 'x-2' equal to zero and attempt to solve: Simplifying x-2 = 0 Solving x-2 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-2' to each side of the equation. x-2 + -1x-2 = 0 + -1x-2 Remove the zero: 0 = -1x-2 Simplifying 0 = -1x-2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(e3x2 + -2)' equal to zero and attempt to solve: Simplifying e3x2 + -2 = 0 Reorder the terms: -2 + e3x2 = 0 Solving -2 + e3x2 = 0 Move all terms containing e to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + e3x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + e3x2 = 0 + 2 e3x2 = 0 + 2 Combine like terms: 0 + 2 = 2 e3x2 = 2 Divide each side by 'x2'. e3 = 2x-2 Simplifying e3 = 2x-2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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