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Simplifying 4e3x + -6 = 12 Reorder the terms: -6 + 4e3x = 12 Solving -6 + 4e3x = 12 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 = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 4e3x = 12 + 6 4e3x = 12 + 6 Combine like terms: 12 + 6 = 18 4e3x = 18 Divide each side by '4x'. e3 = 4.5x-1 Simplifying e3 = 4.5x-1 Combine like terms: 4.5x-1 + -4.5x-1 = 0.0 e3 + -4.5x-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -4.5) = 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 '(e3x + -4.5)' equal to zero and attempt to solve: Simplifying e3x + -4.5 = 0 Reorder the terms: -4.5 + e3x = 0 Solving -4.5 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + e3x = 0 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + e3x = 0 + 4.5 e3x = 0 + 4.5 Combine like terms: 0 + 4.5 = 4.5 e3x = 4.5 Divide each side by 'x'. e3 = 4.5x-1 Simplifying e3 = 4.5x-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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