(3m-2)x^2+(m+2n)x+3m-2n-p=0

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Solution for (3m-2)x^2+(m+2n)x+3m-2n-p=0 equation: 


Simplifying
(3m + -2) * x2 + (m + 2n) * x + 3m + -2n + -1p = 0

Reorder the terms:
(-2 + 3m) * x2 + (m + 2n) * x + 3m + -2n + -1p = 0

Reorder the terms for easier multiplication:
x2(-2 + 3m) + (m + 2n) * x + 3m + -2n + -1p = 0
(-2 * x2 + 3m * x2) + (m + 2n) * x + 3m + -2n + -1p = 0

Reorder the terms:
(3mx2 + -2x2) + (m + 2n) * x + 3m + -2n + -1p = 0
(3mx2 + -2x2) + (m + 2n) * x + 3m + -2n + -1p = 0

Reorder the terms for easier multiplication:
3mx2 + -2x2 + x(m + 2n) + 3m + -2n + -1p = 0
3mx2 + -2x2 + (m * x + 2n * x) + 3m + -2n + -1p = 0
3mx2 + -2x2 + (mx + 2nx) + 3m + -2n + -1p = 0

Reorder the terms:
3m + mx + 3mx2 + -2n + 2nx + -1p + -2x2 = 0

Solving
3m + mx + 3mx2 + -2n + 2nx + -1p + -2x2 = 0

Solving for variable 'm'.

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

Add '2n' to each side of the equation.
3m + mx + 3mx2 + -2n + 2nx + -1p + 2n + -2x2 = 0 + 2n

Reorder the terms:
3m + mx + 3mx2 + -2n + 2n + 2nx + -1p + -2x2 = 0 + 2n

Combine like terms: -2n + 2n = 0
3m + mx + 3mx2 + 0 + 2nx + -1p + -2x2 = 0 + 2n
3m + mx + 3mx2 + 2nx + -1p + -2x2 = 0 + 2n
Remove the zero:
3m + mx + 3mx2 + 2nx + -1p + -2x2 = 2n

Add '-2nx' to each side of the equation.
3m + mx + 3mx2 + 2nx + -1p + -2nx + -2x2 = 2n + -2nx

Reorder the terms:
3m + mx + 3mx2 + 2nx + -2nx + -1p + -2x2 = 2n + -2nx

Combine like terms: 2nx + -2nx = 0
3m + mx + 3mx2 + 0 + -1p + -2x2 = 2n + -2nx
3m + mx + 3mx2 + -1p + -2x2 = 2n + -2nx

Add 'p' to each side of the equation.
3m + mx + 3mx2 + -1p + p + -2x2 = 2n + -2nx + p

Combine like terms: -1p + p = 0
3m + mx + 3mx2 + 0 + -2x2 = 2n + -2nx + p
3m + mx + 3mx2 + -2x2 = 2n + -2nx + p

Add '2x2' to each side of the equation.
3m + mx + 3mx2 + -2x2 + 2x2 = 2n + -2nx + p + 2x2

Combine like terms: -2x2 + 2x2 = 0
3m + mx + 3mx2 + 0 = 2n + -2nx + p + 2x2
3m + mx + 3mx2 = 2n + -2nx + p + 2x2

Reorder the terms:
3m + mx + 3mx2 + -2n + 2nx + -1p + -2x2 = 2n + -2n + -2nx + 2nx + p + -1p + 2x2 + -2x2

Combine like terms: 2n + -2n = 0
3m + mx + 3mx2 + -2n + 2nx + -1p + -2x2 = 0 + -2nx + 2nx + p + -1p + 2x2 + -2x2
3m + mx + 3mx2 + -2n + 2nx + -1p + -2x2 = -2nx + 2nx + p + -1p + 2x2 + -2x2

Combine like terms: -2nx + 2nx = 0
3m + mx + 3mx2 + -2n + 2nx + -1p + -2x2 = 0 + p + -1p + 2x2 + -2x2
3m + mx + 3mx2 + -2n + 2nx + -1p + -2x2 = p + -1p + 2x2 + -2x2

Combine like terms: p + -1p = 0
3m + mx + 3mx2 + -2n + 2nx + -1p + -2x2 = 0 + 2x2 + -2x2
3m + mx + 3mx2 + -2n + 2nx + -1p + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
3m + mx + 3mx2 + -2n + 2nx + -1p + -2x2 = 0

The solution to this equation could not be determined.

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