x^2+3mx-x-1=0

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Solution for x^2+3mx-x-1=0 equation:


Simplifying
x2 + 3mx + -1x + -1 = 0

Reorder the terms:
-1 + 3mx + -1x + x2 = 0

Solving
-1 + 3mx + -1x + x2 = 0

Solving for variable 'm'.

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

Add '1' to each side of the equation.
-1 + 3mx + -1x + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + 3mx + -1x + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3mx + -1x + x2 = 0 + 1
3mx + -1x + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
3mx + -1x + x2 = 1

Add 'x' to each side of the equation.
3mx + -1x + x + x2 = 1 + x

Combine like terms: -1x + x = 0
3mx + 0 + x2 = 1 + x
3mx + x2 = 1 + x

Add '-1x2' to each side of the equation.
3mx + x2 + -1x2 = 1 + x + -1x2

Combine like terms: x2 + -1x2 = 0
3mx + 0 = 1 + x + -1x2
3mx = 1 + x + -1x2

Divide each side by '3x'.
m = 0.3333333333x-1 + 0.3333333333 + -0.3333333333x

Simplifying
m = 0.3333333333x-1 + 0.3333333333 + -0.3333333333x

Reorder the terms:
m = 0.3333333333 + 0.3333333333x-1 + -0.3333333333x

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