x^3-x^2-7mx+8n=2x^4-x^3-3nx^2+2mx+4

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Solution for x^3-x^2-7mx+8n=2x^4-x^3-3nx^2+2mx+4 equation: 


Simplifying
x3 + -1x2 + -7mx + 8n = 2x4 + -1x3 + -3nx2 + 2mx + 4

Reorder the terms:
-7mx + 8n + -1x2 + x3 = 2x4 + -1x3 + -3nx2 + 2mx + 4

Reorder the terms:
-7mx + 8n + -1x2 + x3 = 4 + 2mx + -3nx2 + -1x3 + 2x4

Solving
-7mx + 8n + -1x2 + x3 = 4 + 2mx + -3nx2 + -1x3 + 2x4

Solving for variable 'm'.

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

Add '-2mx' to each side of the equation.
-7mx + 8n + -1x2 + -2mx + x3 = 4 + 2mx + -3nx2 + -1x3 + -2mx + 2x4

Reorder the terms:
-7mx + -2mx + 8n + -1x2 + x3 = 4 + 2mx + -3nx2 + -1x3 + -2mx + 2x4

Combine like terms: -7mx + -2mx = -9mx
-9mx + 8n + -1x2 + x3 = 4 + 2mx + -3nx2 + -1x3 + -2mx + 2x4

Reorder the terms:
-9mx + 8n + -1x2 + x3 = 4 + 2mx + -2mx + -3nx2 + -1x3 + 2x4

Combine like terms: 2mx + -2mx = 0
-9mx + 8n + -1x2 + x3 = 4 + 0 + -3nx2 + -1x3 + 2x4
-9mx + 8n + -1x2 + x3 = 4 + -3nx2 + -1x3 + 2x4

Add '-8n' to each side of the equation.
-9mx + 8n + -1x2 + -8n + x3 = 4 + -3nx2 + -1x3 + -8n + 2x4

Reorder the terms:
-9mx + 8n + -8n + -1x2 + x3 = 4 + -3nx2 + -1x3 + -8n + 2x4

Combine like terms: 8n + -8n = 0
-9mx + 0 + -1x2 + x3 = 4 + -3nx2 + -1x3 + -8n + 2x4
-9mx + -1x2 + x3 = 4 + -3nx2 + -1x3 + -8n + 2x4

Reorder the terms:
-9mx + -1x2 + x3 = 4 + -8n + -3nx2 + -1x3 + 2x4

Add 'x2' to each side of the equation.
-9mx + -1x2 + x2 + x3 = 4 + -8n + -3nx2 + -1x3 + x2 + 2x4

Combine like terms: -1x2 + x2 = 0
-9mx + 0 + x3 = 4 + -8n + -3nx2 + -1x3 + x2 + 2x4
-9mx + x3 = 4 + -8n + -3nx2 + -1x3 + x2 + 2x4

Reorder the terms:
-9mx + x3 = 4 + -8n + -3nx2 + x2 + -1x3 + 2x4

Add '-1x3' to each side of the equation.
-9mx + x3 + -1x3 = 4 + -8n + -3nx2 + x2 + -1x3 + -1x3 + 2x4

Combine like terms: x3 + -1x3 = 0
-9mx + 0 = 4 + -8n + -3nx2 + x2 + -1x3 + -1x3 + 2x4
-9mx = 4 + -8n + -3nx2 + x2 + -1x3 + -1x3 + 2x4

Combine like terms: -1x3 + -1x3 = -2x3
-9mx = 4 + -8n + -3nx2 + x2 + -2x3 + 2x4

Divide each side by '-9x'.
m = -0.4444444444x-1 + 0.8888888889nx-1 + 0.3333333333nx + -0.1111111111x + 0.2222222222x2 + -0.2222222222x3

Simplifying
m = -0.4444444444x-1 + 0.8888888889nx-1 + 0.3333333333nx + -0.1111111111x + 0.2222222222x2 + -0.2222222222x3

Reorder the terms:
m = 0.8888888889nx-1 + 0.3333333333nx + -0.4444444444x-1 + -0.1111111111x + 0.2222222222x2 + -0.2222222222x3

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