(X-m)(kx+N)(x-2)=0

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Solution for (X-m)(kx+N)(x-2)=0 equation: 


Simplifying
(X + -1m)(kx + N)(x + -2) = 0

Reorder the terms:
(X + -1m)(N + kx)(x + -2) = 0

Reorder the terms:
(X + -1m)(N + kx)(-2 + x) = 0

Multiply (X + -1m) * (N + kx)
(X(N + kx) + -1m * (N + kx))(-2 + x) = 0
((N * X + kx * X) + -1m * (N + kx))(-2 + x) = 0
((NX + kxX) + -1m * (N + kx))(-2 + x) = 0
(NX + kxX + (N * -1m + kx * -1m))(-2 + x) = 0

Reorder the terms:
(NX + kxX + (-1kmx + -1mN))(-2 + x) = 0
(NX + kxX + (-1kmx + -1mN))(-2 + x) = 0

Reorder the terms:
(NX + -1kmx + kxX + -1mN)(-2 + x) = 0
(NX + -1kmx + kxX + -1mN)(-2 + x) = 0

Multiply (NX + -1kmx + kxX + -1mN) * (-2 + x)
(NX(-2 + x) + -1kmx * (-2 + x) + kxX(-2 + x) + -1mN * (-2 + x)) = 0
((-2 * NX + x * NX) + -1kmx * (-2 + x) + kxX(-2 + x) + -1mN * (-2 + x)) = 0
((-2NX + xNX) + -1kmx * (-2 + x) + kxX(-2 + x) + -1mN * (-2 + x)) = 0
(-2NX + xNX + (-2 * -1kmx + x * -1kmx) + kxX(-2 + x) + -1mN * (-2 + x)) = 0
(-2NX + xNX + (2kmx + -1kmx2) + kxX(-2 + x) + -1mN * (-2 + x)) = 0
(-2NX + xNX + 2kmx + -1kmx2 + (-2 * kxX + x * kxX) + -1mN * (-2 + x)) = 0
(-2NX + xNX + 2kmx + -1kmx2 + (-2kxX + kx2X) + -1mN * (-2 + x)) = 0
(-2NX + xNX + 2kmx + -1kmx2 + -2kxX + kx2X + (-2 * -1mN + x * -1mN)) = 0
(-2NX + xNX + 2kmx + -1kmx2 + -2kxX + kx2X + (2mN + -1mxN)) = 0

Reorder the terms:
(-2NX + 2kmx + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + xNX) = 0
(-2NX + 2kmx + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + xNX) = 0

Solving
-2NX + 2kmx + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + xNX = 0

Solving for variable 'N'.

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

Add '-2kmx' to each side of the equation.
-2NX + 2kmx + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + -2kmx + xNX = 0 + -2kmx

Reorder the terms:
-2NX + 2kmx + -2kmx + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + xNX = 0 + -2kmx

Combine like terms: 2kmx + -2kmx = 0
-2NX + 0 + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + xNX = 0 + -2kmx
-2NX + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + xNX = 0 + -2kmx
Remove the zero:
-2NX + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + xNX = -2kmx

Add 'kmx2' to each side of the equation.
-2NX + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + kmx2 + xNX = -2kmx + kmx2

Reorder the terms:
-2NX + -1kmx2 + kmx2 + -2kxX + kx2X + 2mN + -1mxN + xNX = -2kmx + kmx2

Combine like terms: -1kmx2 + kmx2 = 0
-2NX + 0 + -2kxX + kx2X + 2mN + -1mxN + xNX = -2kmx + kmx2
-2NX + -2kxX + kx2X + 2mN + -1mxN + xNX = -2kmx + kmx2

Add '2kxX' to each side of the equation.
-2NX + -2kxX + kx2X + 2mN + -1mxN + 2kxX + xNX = -2kmx + kmx2 + 2kxX

Reorder the terms:
-2NX + -2kxX + 2kxX + kx2X + 2mN + -1mxN + xNX = -2kmx + kmx2 + 2kxX

Combine like terms: -2kxX + 2kxX = 0
-2NX + 0 + kx2X + 2mN + -1mxN + xNX = -2kmx + kmx2 + 2kxX
-2NX + kx2X + 2mN + -1mxN + xNX = -2kmx + kmx2 + 2kxX

Add '-1kx2X' to each side of the equation.
-2NX + kx2X + 2mN + -1mxN + -1kx2X + xNX = -2kmx + kmx2 + 2kxX + -1kx2X

Reorder the terms:
-2NX + kx2X + -1kx2X + 2mN + -1mxN + xNX = -2kmx + kmx2 + 2kxX + -1kx2X

Combine like terms: kx2X + -1kx2X = 0
-2NX + 0 + 2mN + -1mxN + xNX = -2kmx + kmx2 + 2kxX + -1kx2X
-2NX + 2mN + -1mxN + xNX = -2kmx + kmx2 + 2kxX + -1kx2X

Reorder the terms:
-2NX + 2kmx + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + xNX = -2kmx + kmx2 + 2kxX + -1kx2X + 2kmx + -1kmx2 + -2kxX + kx2X

Reorder the terms:
-2NX + 2kmx + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + xNX = -2kmx + 2kmx + kmx2 + -1kmx2 + 2kxX + -2kxX + -1kx2X + kx2X

Combine like terms: -2kmx + 2kmx = 0
-2NX + 2kmx + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + xNX = 0 + kmx2 + -1kmx2 + 2kxX + -2kxX + -1kx2X + kx2X
-2NX + 2kmx + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + xNX = kmx2 + -1kmx2 + 2kxX + -2kxX + -1kx2X + kx2X

Combine like terms: kmx2 + -1kmx2 = 0
-2NX + 2kmx + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + xNX = 0 + 2kxX + -2kxX + -1kx2X + kx2X
-2NX + 2kmx + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + xNX = 2kxX + -2kxX + -1kx2X + kx2X

Combine like terms: 2kxX + -2kxX = 0
-2NX + 2kmx + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + xNX = 0 + -1kx2X + kx2X
-2NX + 2kmx + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + xNX = -1kx2X + kx2X

Combine like terms: -1kx2X + kx2X = 0
-2NX + 2kmx + -1kmx2 + -2kxX + kx2X + 2mN + -1mxN + xNX = 0

The solution to this equation could not be determined.

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