(m^2+3m+6)x=(3m+15)x+m^3-6

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Solution for (m^2+3m+6)x=(3m+15)x+m^3-6 equation: 


Simplifying
(m2 + 3m + 6) * x = (3m + 15) * x + m3 + -6

Reorder the terms:
(6 + 3m + m2) * x = (3m + 15) * x + m3 + -6

Reorder the terms for easier multiplication:
x(6 + 3m + m2) = (3m + 15) * x + m3 + -6
(6 * x + 3m * x + m2 * x) = (3m + 15) * x + m3 + -6

Reorder the terms:
(3mx + m2x + 6x) = (3m + 15) * x + m3 + -6
(3mx + m2x + 6x) = (3m + 15) * x + m3 + -6

Reorder the terms:
3mx + m2x + 6x = (15 + 3m) * x + m3 + -6

Reorder the terms for easier multiplication:
3mx + m2x + 6x = x(15 + 3m) + m3 + -6
3mx + m2x + 6x = (15 * x + 3m * x) + m3 + -6

Reorder the terms:
3mx + m2x + 6x = (3mx + 15x) + m3 + -6
3mx + m2x + 6x = (3mx + 15x) + m3 + -6

Reorder the terms:
3mx + m2x + 6x = -6 + 3mx + m3 + 15x

Add '-3mx' to each side of the equation.
3mx + m2x + -3mx + 6x = -6 + 3mx + m3 + -3mx + 15x

Reorder the terms:
3mx + -3mx + m2x + 6x = -6 + 3mx + m3 + -3mx + 15x

Combine like terms: 3mx + -3mx = 0
0 + m2x + 6x = -6 + 3mx + m3 + -3mx + 15x
m2x + 6x = -6 + 3mx + m3 + -3mx + 15x

Reorder the terms:
m2x + 6x = -6 + 3mx + -3mx + m3 + 15x

Combine like terms: 3mx + -3mx = 0
m2x + 6x = -6 + 0 + m3 + 15x
m2x + 6x = -6 + m3 + 15x

Solving
m2x + 6x = -6 + m3 + 15x

Solving for variable 'm'.

Reorder the terms:
6 + m2x + -1m3 + 6x + -15x = -6 + m3 + 15x + 6 + -1m3 + -15x

Combine like terms: 6x + -15x = -9x
6 + m2x + -1m3 + -9x = -6 + m3 + 15x + 6 + -1m3 + -15x

Reorder the terms:
6 + m2x + -1m3 + -9x = -6 + 6 + m3 + -1m3 + 15x + -15x

Combine like terms: -6 + 6 = 0
6 + m2x + -1m3 + -9x = 0 + m3 + -1m3 + 15x + -15x
6 + m2x + -1m3 + -9x = m3 + -1m3 + 15x + -15x

Combine like terms: m3 + -1m3 = 0
6 + m2x + -1m3 + -9x = 0 + 15x + -15x
6 + m2x + -1m3 + -9x = 15x + -15x

Combine like terms: 15x + -15x = 0
6 + m2x + -1m3 + -9x = 0

The solution to this equation could not be determined.

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