6e^3t=20

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Solution for 6e^3t=20 equation:


Simplifying
6e3t = 20

Solving
6e3t = 20

Solving for variable 'e'.

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

Divide each side by '6t'.
e3 = 3.333333333t-1

Simplifying
e3 = 3.333333333t-1

Combine like terms: 3.333333333t-1 + -3.333333333t-1 = 0.000000000
e3 + -3.333333333t-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e3t + -3.333333333) = 0.000000000

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 + -3.333333333)' equal to zero and attempt to solve: Simplifying e3t + -3.333333333 = 0 Reorder the terms: -3.333333333 + e3t = 0 Solving -3.333333333 + e3t = 0 Move all terms containing e to the left, all other terms to the right. Add '3.333333333' to each side of the equation. -3.333333333 + 3.333333333 + e3t = 0 + 3.333333333 Combine like terms: -3.333333333 + 3.333333333 = 0.000000000 0.000000000 + e3t = 0 + 3.333333333 e3t = 0 + 3.333333333 Combine like terms: 0 + 3.333333333 = 3.333333333 e3t = 3.333333333 Divide each side by 't'. e3 = 3.333333333t-1 Simplifying e3 = 3.333333333t-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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