-12e^6x+10e^5x-2e^4x+24e^3x-7e^2x=-2e^2x

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Solution for -12e^6x+10e^5x-2e^4x+24e^3x-7e^2x=-2e^2x equation: 


Simplifying
-12e6x + 10e5x + -2e4x + 24e3x + -7e2x = -2e2x

Reorder the terms:
-7e2x + 24e3x + -2e4x + 10e5x + -12e6x = -2e2x

Solving
-7e2x + 24e3x + -2e4x + 10e5x + -12e6x = -2e2x

Solving for variable 'e'.

Reorder the terms:
-7e2x + 2e2x + 24e3x + -2e4x + 10e5x + -12e6x = -2e2x + 2e2x

Combine like terms: -7e2x + 2e2x = -5e2x
-5e2x + 24e3x + -2e4x + 10e5x + -12e6x = -2e2x + 2e2x

Combine like terms: -2e2x + 2e2x = 0
-5e2x + 24e3x + -2e4x + 10e5x + -12e6x = 0

Factor out the Greatest Common Factor (GCF), 'e2x'.
e2x(-5 + 24e + -2e2 + 10e3 + -12e4) = 0


Subproblem 1
Set the factor 'e2x' equal to zero and attempt to solve:

Simplifying
e2x = 0

Solving
e2x = 0

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

Simplifying
e2x = 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 '(-5 + 24e + -2e2 + 10e3 + -12e4)' equal to zero and attempt to solve:

Simplifying
-5 + 24e + -2e2 + 10e3 + -12e4 = 0

Solving
-5 + 24e + -2e2 + 10e3 + -12e4 = 0

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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