5e^9t=8e*8t

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Solution for 5e^9t=8e*8t equation:


Simplifying
5e9t = 8e * 8t

Reorder the terms for easier multiplication:
5e9t = 8 * 8e * t

Multiply 8 * 8
5e9t = 64e * t

Multiply e * t
5e9t = 64et

Solving
5e9t = 64et

Solving for variable 'e'.

Reorder the terms:
-64et + 5e9t = 64et + -64et

Combine like terms: 64et + -64et = 0
-64et + 5e9t = 0

Factor out the Greatest Common Factor (GCF), 'et'.
et(-64 + 5e8) = 0

Subproblem 1

Set the factor 'et' equal to zero and attempt to solve: Simplifying et = 0 Solving et = 0 Move all terms containing e to the left, all other terms to the right. Simplifying et = 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 '(-64 + 5e8)' equal to zero and attempt to solve: Simplifying -64 + 5e8 = 0 Solving -64 + 5e8 = 0 Move all terms containing e to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 5e8 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 5e8 = 0 + 64 5e8 = 0 + 64 Combine like terms: 0 + 64 = 64 5e8 = 64 Divide each side by '5'. e8 = 12.8 Simplifying e8 = 12.8 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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