7e^6x=10e^7x

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Solution for 7e^6x=10e^7x equation:


Simplifying
7e6x = 10e7x

Solving
7e6x = 10e7x

Solving for variable 'e'.

Combine like terms: 10e7x + -10e7x = 0
7e6x + -10e7x = 0

Factor out the Greatest Common Factor (GCF), 'e6x'.
e6x(7 + -10e) = 0

Subproblem 1

Set the factor 'e6x' equal to zero and attempt to solve: Simplifying e6x = 0 Solving e6x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e6x = 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 '(7 + -10e)' equal to zero and attempt to solve: Simplifying 7 + -10e = 0 Solving 7 + -10e = 0 Move all terms containing e to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -10e = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10e = 0 + -7 -10e = 0 + -7 Combine like terms: 0 + -7 = -7 -10e = -7 Divide each side by '-10'. e = 0.7 Simplifying e = 0.7

Solution

e = {0.7}

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