x=5e^3x

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Solution for x=5e^3x equation:


Simplifying
x = 5e3x

Solving
x = 5e3x

Solving for variable 'x'.

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

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

Combine like terms: 5e3x + -5e3x = 0
-5e3x + x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5e3 + 1) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-5e3 + 1)' equal to zero and attempt to solve: Simplifying -5e3 + 1 = 0 Reorder the terms: 1 + -5e3 = 0 Solving 1 + -5e3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5e3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5e3 = 0 + -1 -5e3 = 0 + -1 Combine like terms: 0 + -1 = -1 -5e3 = -1 Add '5e3' to each side of the equation. -5e3 + 5e3 = -1 + 5e3 Combine like terms: -5e3 + 5e3 = 0 0 = -1 + 5e3 Simplifying 0 = -1 + 5e3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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