e^4(t+x)=2e^4t

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Solution for e^4(t+x)=2e^4t equation:


Simplifying
e4(t + x) = 2e4t
(t * e4 + x * e4) = 2e4t
(e4t + e4x) = 2e4t

Solving
e4t + e4x = 2e4t

Solving for variable 'e'.

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

Add '-2e4t' to each side of the equation.
e4t + -2e4t + e4x = 2e4t + -2e4t

Combine like terms: e4t + -2e4t = -1e4t
-1e4t + e4x = 2e4t + -2e4t

Combine like terms: 2e4t + -2e4t = 0
-1e4t + e4x = 0

Factor out the Greatest Common Factor (GCF), 'e4'.
e4(-1t + x) = 0

Subproblem 1

Set the factor 'e4' equal to zero and attempt to solve: Simplifying e4 = 0 Solving e4 = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e4 = 0 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 '(-1t + x)' equal to zero and attempt to solve: Simplifying -1t + x = 0 Solving -1t + x = 0 Move all terms containing e to the left, all other terms to the right. Add 't' to each side of the equation. -1t + t + x = 0 + t Combine like terms: -1t + t = 0 0 + x = 0 + t x = 0 + t Remove the zero: x = t Add '-1x' to each side of the equation. x + -1x = t + -1x Combine like terms: x + -1x = 0 0 = t + -1x Simplifying 0 = 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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