4e(3t)=7e(2t)

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Solution for 4e(3t)=7e(2t) equation:


Simplifying
4e(3t) = 7e(2t)

Remove parenthesis around (3t)
4e * 3t = 7e(2t)

Reorder the terms for easier multiplication:
4 * 3e * t = 7e(2t)

Multiply 4 * 3
12e * t = 7e(2t)

Multiply e * t
12et = 7e(2t)

Remove parenthesis around (2t)
12et = 7e * 2t

Reorder the terms for easier multiplication:
12et = 7 * 2e * t

Multiply 7 * 2
12et = 14e * t

Multiply e * t
12et = 14et

Solving
12et = 14et

Solving for variable 'e'.

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

Add '-14et' to each side of the equation.
12et + -14et = 14et + -14et

Combine like terms: 12et + -14et = -2et
-2et = 14et + -14et

Combine like terms: 14et + -14et = 0
-2et = 0

Divide each side by '-2'.
et = 0

Simplifying
et = 0

The solution to this equation could not be determined.

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