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Simplifying 4e3X + 6 = 8 Reorder the terms: 6 + 4e3X = 8 Solving 6 + 4e3X = 8 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4e3X = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 4e3X = 8 + -6 4e3X = 8 + -6 Combine like terms: 8 + -6 = 2 4e3X = 2 Divide each side by '4X'. e3 = 0.5X-1 Simplifying e3 = 0.5X-1 Reorder the terms: -0.5X-1 + e3 = 0.5X-1 + -0.5X-1 Combine like terms: 0.5X-1 + -0.5X-1 = 0.0 -0.5X-1 + e3 = 0.0 Factor out the Greatest Common Factor (GCF), 'X-1'. X-1(-0.5 + e3X) = 0.0Subproblem 1
Set the factor 'X-1' equal to zero and attempt to solve: Simplifying X-1 = 0 Solving X-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1X-1' to each side of the equation. X-1 + -1X-1 = 0 + -1X-1 Remove the zero: 0 = -1X-1 Simplifying 0 = -1X-1 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 '(-0.5 + e3X)' equal to zero and attempt to solve: Simplifying -0.5 + e3X = 0 Solving -0.5 + e3X = 0 Move all terms containing e to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + e3X = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + e3X = 0 + 0.5 e3X = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 e3X = 0.5 Divide each side by 'X'. e3 = 0.5X-1 Simplifying e3 = 0.5X-1 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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