10+6e^3x=24

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Solution for 10+6e^3x=24 equation:


Simplifying
10 + 6e3x = 24

Solving
10 + 6e3x = 24

Solving for variable 'e'.

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

Add '-10' to each side of the equation.
10 + -10 + 6e3x = 24 + -10

Combine like terms: 10 + -10 = 0
0 + 6e3x = 24 + -10
6e3x = 24 + -10

Combine like terms: 24 + -10 = 14
6e3x = 14

Divide each side by '6x'.
e3 = 2.333333333x-1

Simplifying
e3 = 2.333333333x-1

Combine like terms: 2.333333333x-1 + -2.333333333x-1 = 0.000000000
e3 + -2.333333333x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -2.333333333) = 0.000000000

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 + -2.333333333)' equal to zero and attempt to solve: Simplifying e3x + -2.333333333 = 0 Reorder the terms: -2.333333333 + e3x = 0 Solving -2.333333333 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '2.333333333' to each side of the equation. -2.333333333 + 2.333333333 + e3x = 0 + 2.333333333 Combine like terms: -2.333333333 + 2.333333333 = 0.000000000 0.000000000 + e3x = 0 + 2.333333333 e3x = 0 + 2.333333333 Combine like terms: 0 + 2.333333333 = 2.333333333 e3x = 2.333333333 Divide each side by 'x'. e3 = 2.333333333x-1 Simplifying e3 = 2.333333333x-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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