(x-2)(x-1)=x^2+mx-3m-1

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Solution for (x-2)(x-1)=x^2+mx-3m-1 equation: 


Simplifying
(x + -2)(x + -1) = x2 + mx + -3m + -1

Reorder the terms:
(-2 + x)(x + -1) = x2 + mx + -3m + -1

Reorder the terms:
(-2 + x)(-1 + x) = x2 + mx + -3m + -1

Multiply (-2 + x) * (-1 + x)
(-2(-1 + x) + x(-1 + x)) = x2 + mx + -3m + -1
((-1 * -2 + x * -2) + x(-1 + x)) = x2 + mx + -3m + -1
((2 + -2x) + x(-1 + x)) = x2 + mx + -3m + -1
(2 + -2x + (-1 * x + x * x)) = x2 + mx + -3m + -1
(2 + -2x + (-1x + x2)) = x2 + mx + -3m + -1

Combine like terms: -2x + -1x = -3x
(2 + -3x + x2) = x2 + mx + -3m + -1

Reorder the terms:
2 + -3x + x2 = -1 + -3m + mx + x2

Add '-1x2' to each side of the equation.
2 + -3x + x2 + -1x2 = -1 + -3m + mx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + -3x + 0 = -1 + -3m + mx + x2 + -1x2
2 + -3x = -1 + -3m + mx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + -3x = -1 + -3m + mx + 0
2 + -3x = -1 + -3m + mx

Solving
2 + -3x = -1 + -3m + mx

Solving for variable 'x'.

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

Add '-1mx' to each side of the equation.
2 + -1mx + -3x = -1 + -3m + mx + -1mx

Combine like terms: mx + -1mx = 0
2 + -1mx + -3x = -1 + -3m + 0
2 + -1mx + -3x = -1 + -3m

Add '-2' to each side of the equation.
2 + -1mx + -2 + -3x = -1 + -2 + -3m

Reorder the terms:
2 + -2 + -1mx + -3x = -1 + -2 + -3m

Combine like terms: 2 + -2 = 0
0 + -1mx + -3x = -1 + -2 + -3m
-1mx + -3x = -1 + -2 + -3m

Combine like terms: -1 + -2 = -3
-1mx + -3x = -3 + -3m

Reorder the terms:
3 + 3m + -1mx + -3x = -3 + -3m + 3 + 3m

Reorder the terms:
3 + 3m + -1mx + -3x = -3 + 3 + -3m + 3m

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

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

The solution to this equation could not be determined.

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