D^3-7D-6=(1+x)e^2x

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Solution for D^3-7D-6=(1+x)e^2x equation: 


Simplifying
D3 + -7D + -6 = (1 + x) * e2x

Reorder the terms:
-6 + -7D + D3 = (1 + x) * e2x

Reorder the terms for easier multiplication:
-6 + -7D + D3 = e2x(1 + x)
-6 + -7D + D3 = (1 * e2x + x * e2x)
-6 + -7D + D3 = (1e2x + e2x2)

Solving
-6 + -7D + D3 = 1e2x + e2x2

Solving for variable 'D'.

Reorder the terms:
-6 + -7D + D3 + -1e2x + -1e2x2 = 1e2x + -1e2x + e2x2 + -1e2x2

Combine like terms: 1e2x + -1e2x = 0
-6 + -7D + D3 + -1e2x + -1e2x2 = 0 + e2x2 + -1e2x2
-6 + -7D + D3 + -1e2x + -1e2x2 = e2x2 + -1e2x2

Combine like terms: e2x2 + -1e2x2 = 0
-6 + -7D + D3 + -1e2x + -1e2x2 = 0

The solution to this equation could not be determined.

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