100=50e^7*t

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Solution for 100=50e^7*t equation:


Simplifying
100 = 50e7 * t

Multiply e7 * t
100 = 50e7t

Solving
100 = 50e7t

Solving for variable 'e'.

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

Add '-50e7t' to each side of the equation.
100 + -50e7t = 50e7t + -50e7t

Combine like terms: 50e7t + -50e7t = 0
100 + -50e7t = 0

Add '-100' to each side of the equation.
100 + -100 + -50e7t = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -50e7t = 0 + -100
-50e7t = 0 + -100

Combine like terms: 0 + -100 = -100
-50e7t = -100

Divide each side by '-50t'.
e7 = 2t-1

Simplifying
e7 = 2t-1

Combine like terms: 2t-1 + -2t-1 = 0
e7 + -2t-1 = 0

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e7t + -2) = 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 '(e7t + -2)' equal to zero and attempt to solve: Simplifying e7t + -2 = 0 Reorder the terms: -2 + e7t = 0 Solving -2 + e7t = 0 Move all terms containing e to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + e7t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + e7t = 0 + 2 e7t = 0 + 2 Combine like terms: 0 + 2 = 2 e7t = 2 Divide each side by 't'. e7 = 2t-1 Simplifying e7 = 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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