x(t)=5e^3(t)

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Solution for x(t)=5e^3(t) equation:


Simplifying
x(t) = 5e3(t)

Multiply x * t
tx = 5e3(t)

Multiply e3 * t
tx = 5e3t

Solving
tx = 5e3t

Solving for variable 't'.

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

Add '-5e3t' to each side of the equation.
-5e3t + tx = 5e3t + -5e3t

Combine like terms: 5e3t + -5e3t = 0
-5e3t + tx = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-5e3 + x) = 0

Subproblem 1

Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0

Subproblem 2

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

Solution

t = {0}

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