e^3t+5=x

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Solution for e^3t+5=x equation:


Simplifying
e3t + 5 = x

Reorder the terms:
5 + e3t = x

Solving
5 + e3t = x

Solving for variable 'e'.

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

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

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

Divide each side by 't'.
e3 = -5t-1 + t-1x

Simplifying
e3 = -5t-1 + t-1x

Reorder the terms:
e3 + 5t-1 + -1t-1x = -5t-1 + 5t-1 + t-1x + -1t-1x

Combine like terms: -5t-1 + 5t-1 = 0
e3 + 5t-1 + -1t-1x = 0 + t-1x + -1t-1x
e3 + 5t-1 + -1t-1x = t-1x + -1t-1x

Combine like terms: t-1x + -1t-1x = 0
e3 + 5t-1 + -1t-1x = 0

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e3t + 5 + -1x) = 0

Subproblem 1

Set the factor 't-1' equal to zero and attempt to solve: Simplifying t-1 = 0 Solving t-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1t-1' to each side of the equation. t-1 + -1t-1 = 0 + -1t-1 Remove the zero: 0 = -1t-1 Simplifying 0 = -1t-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 '(e3t + 5 + -1x)' equal to zero and attempt to solve: Simplifying e3t + 5 + -1x = 0 Reorder the terms: 5 + e3t + -1x = 0 Solving 5 + e3t + -1x = 0 Move all terms containing e to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + e3t + -5 + -1x = 0 + -5 Reorder the terms: 5 + -5 + e3t + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + e3t + -1x = 0 + -5 e3t + -1x = 0 + -5 Combine like terms: 0 + -5 = -5 e3t + -1x = -5 Add 'x' to each side of the equation. e3t + -1x + x = -5 + x Combine like terms: -1x + x = 0 e3t + 0 = -5 + x e3t = -5 + x Divide each side by 't'. e3 = -5t-1 + t-1x Simplifying e3 = -5t-1 + t-1x 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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