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Simplifying 6e4x + 7 = 4 Reorder the terms: 7 + 6e4x = 4 Solving 7 + 6e4x = 4 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6e4x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 6e4x = 4 + -7 6e4x = 4 + -7 Combine like terms: 4 + -7 = -3 6e4x = -3 Divide each side by '6x'. e4 = -0.5x-1 Simplifying e4 = -0.5x-1 Combine like terms: -0.5x-1 + 0.5x-1 = 0.0 e4 + 0.5x-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e4x + 0.5) = 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 '(e4x + 0.5)' equal to zero and attempt to solve: Simplifying e4x + 0.5 = 0 Reorder the terms: 0.5 + e4x = 0 Solving 0.5 + e4x = 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 + e4x = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + e4x = 0 + -0.5 e4x = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 e4x = -0.5 Divide each side by 'x'. e4 = -0.5x-1 Simplifying e4 = -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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