5+8e^3x+2=45

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Solution for 5+8e^3x+2=45 equation:


Simplifying
5 + 8e3x + 2 = 45

Reorder the terms:
5 + 2 + 8e3x = 45

Combine like terms: 5 + 2 = 7
7 + 8e3x = 45

Solving
7 + 8e3x = 45

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 + 8e3x = 45 + -7

Combine like terms: 7 + -7 = 0
0 + 8e3x = 45 + -7
8e3x = 45 + -7

Combine like terms: 45 + -7 = 38
8e3x = 38

Divide each side by '8x'.
e3 = 4.75x-1

Simplifying
e3 = 4.75x-1

Combine like terms: 4.75x-1 + -4.75x-1 = 0.00
e3 + -4.75x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -4.75) = 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 + -4.75)' equal to zero and attempt to solve: Simplifying e3x + -4.75 = 0 Reorder the terms: -4.75 + e3x = 0 Solving -4.75 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '4.75' to each side of the equation. -4.75 + 4.75 + e3x = 0 + 4.75 Combine like terms: -4.75 + 4.75 = 0.00 0.00 + e3x = 0 + 4.75 e3x = 0 + 4.75 Combine like terms: 0 + 4.75 = 4.75 e3x = 4.75 Divide each side by 'x'. e3 = 4.75x-1 Simplifying e3 = 4.75x-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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