3(2x^2-mx)+4NX+2mn=0

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Solution for 3(2x^2-mx)+4NX+2mn=0 equation: 


Simplifying
3(2x2 + -1mx) + 4NX + 2mn = 0

Reorder the terms:
3(-1mx + 2x2) + 4NX + 2mn = 0
(-1mx * 3 + 2x2 * 3) + 4NX + 2mn = 0
(-3mx + 6x2) + 4NX + 2mn = 0

Reorder the terms:
4NX + 2mn + -3mx + 6x2 = 0

Solving
4NX + 2mn + -3mx + 6x2 = 0

Solving for variable 'N'.

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

Add '-2mn' to each side of the equation.
4NX + 2mn + -3mx + -2mn + 6x2 = 0 + -2mn

Reorder the terms:
4NX + 2mn + -2mn + -3mx + 6x2 = 0 + -2mn

Combine like terms: 2mn + -2mn = 0
4NX + 0 + -3mx + 6x2 = 0 + -2mn
4NX + -3mx + 6x2 = 0 + -2mn
Remove the zero:
4NX + -3mx + 6x2 = -2mn

Add '3mx' to each side of the equation.
4NX + -3mx + 3mx + 6x2 = -2mn + 3mx

Combine like terms: -3mx + 3mx = 0
4NX + 0 + 6x2 = -2mn + 3mx
4NX + 6x2 = -2mn + 3mx

Add '-6x2' to each side of the equation.
4NX + 6x2 + -6x2 = -2mn + 3mx + -6x2

Combine like terms: 6x2 + -6x2 = 0
4NX + 0 = -2mn + 3mx + -6x2
4NX = -2mn + 3mx + -6x2

Divide each side by '4X'.
N = -0.5mnX-1 + 0.75mxX-1 + -1.5x2X-1

Simplifying
N = -0.5mnX-1 + 0.75mxX-1 + -1.5x2X-1

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