(m-1)x^2-2(m+3)x+m=0

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Solution for (m-1)x^2-2(m+3)x+m=0 equation: 


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

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

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

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

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

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

Reorder the terms:
mx2 + -1x2 + (-2mx + -6x) + m = 0
mx2 + -1x2 + (-2mx + -6x) + m = 0

Reorder the terms:
m + -2mx + mx2 + -6x + -1x2 = 0

Solving
m + -2mx + mx2 + -6x + -1x2 = 0

Solving for variable 'm'.

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

Add '6x' to each side of the equation.
m + -2mx + mx2 + -6x + 6x + -1x2 = 0 + 6x

Combine like terms: -6x + 6x = 0
m + -2mx + mx2 + 0 + -1x2 = 0 + 6x
m + -2mx + mx2 + -1x2 = 0 + 6x
Remove the zero:
m + -2mx + mx2 + -1x2 = 6x

Add 'x2' to each side of the equation.
m + -2mx + mx2 + -1x2 + x2 = 6x + x2

Combine like terms: -1x2 + x2 = 0
m + -2mx + mx2 + 0 = 6x + x2
m + -2mx + mx2 = 6x + x2

Reorder the terms:
m + -2mx + mx2 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
m + -2mx + mx2 + -6x + -1x2 = 0 + x2 + -1x2
m + -2mx + mx2 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
m + -2mx + mx2 + -6x + -1x2 = 0

The solution to this equation could not be determined.

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