4e^3x-5=32

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Solution for 4e^3x-5=32 equation:


Simplifying
4e3x + -5 = 32

Reorder the terms:
-5 + 4e3x = 32

Solving
-5 + 4e3x = 32

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + 4e3x = 32 + 5

Combine like terms: -5 + 5 = 0
0 + 4e3x = 32 + 5
4e3x = 32 + 5

Combine like terms: 32 + 5 = 37
4e3x = 37

Divide each side by '4x'.
e3 = 9.25x-1

Simplifying
e3 = 9.25x-1

Combine like terms: 9.25x-1 + -9.25x-1 = 0.00
e3 + -9.25x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -9.25) = 0.00

Subproblem 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 + -9.25)' equal to zero and attempt to solve: Simplifying e3x + -9.25 = 0 Reorder the terms: -9.25 + e3x = 0 Solving -9.25 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '9.25' to each side of the equation. -9.25 + 9.25 + e3x = 0 + 9.25 Combine like terms: -9.25 + 9.25 = 0.00 0.00 + e3x = 0 + 9.25 e3x = 0 + 9.25 Combine like terms: 0 + 9.25 = 9.25 e3x = 9.25 Divide each side by 'x'. e3 = 9.25x-1 Simplifying e3 = 9.25x-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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