10+8e^3x=25

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Solution for 10+8e^3x=25 equation:


Simplifying
10 + 8e3x = 25

Solving
10 + 8e3x = 25

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 + 8e3x = 25 + -10

Combine like terms: 10 + -10 = 0
0 + 8e3x = 25 + -10
8e3x = 25 + -10

Combine like terms: 25 + -10 = 15
8e3x = 15

Divide each side by '8x'.
e3 = 1.875x-1

Simplifying
e3 = 1.875x-1

Combine like terms: 1.875x-1 + -1.875x-1 = 0.000
e3 + -1.875x-1 = 0.000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -1.875) = 0.000

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 + -1.875)' equal to zero and attempt to solve: Simplifying e3x + -1.875 = 0 Reorder the terms: -1.875 + e3x = 0 Solving -1.875 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.875' to each side of the equation. -1.875 + 1.875 + e3x = 0 + 1.875 Combine like terms: -1.875 + 1.875 = 0.000 0.000 + e3x = 0 + 1.875 e3x = 0 + 1.875 Combine like terms: 0 + 1.875 = 1.875 e3x = 1.875 Divide each side by 'x'. e3 = 1.875x-1 Simplifying e3 = 1.875x-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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