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

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


Simplifying
mx2 + 2(m + -1) * x + m + -1 = 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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