30e^4t=6

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Solution for 30e^4t=6 equation:


Simplifying
30e4t = 6

Solving
30e4t = 6

Solving for variable 'e'.

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

Divide each side by '30t'.
e4 = 0.2t-1

Simplifying
e4 = 0.2t-1

Combine like terms: 0.2t-1 + -0.2t-1 = 0.0
e4 + -0.2t-1 = 0.0

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e4t + -0.2) = 0.0

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 '(e4t + -0.2)' equal to zero and attempt to solve: Simplifying e4t + -0.2 = 0 Reorder the terms: -0.2 + e4t = 0 Solving -0.2 + e4t = 0 Move all terms containing e to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + e4t = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + e4t = 0 + 0.2 e4t = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 e4t = 0.2 Divide each side by 't'. e4 = 0.2t-1 Simplifying e4 = 0.2t-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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