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

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


Simplifying
Mx2 + (m + -2) * x + -1(m + 1) = 0

Reorder the terms:
x2M + (-2 + m) * x + -1(m + 1) = 0

Reorder the terms for easier multiplication:
x2M + x(-2 + m) + -1(m + 1) = 0
x2M + (-2 * x + m * x) + -1(m + 1) = 0

Reorder the terms:
x2M + (mx + -2x) + -1(m + 1) = 0
x2M + (mx + -2x) + -1(m + 1) = 0

Reorder the terms:
x2M + mx + -2x + -1(1 + m) = 0
x2M + mx + -2x + (1 * -1 + m * -1) = 0
x2M + mx + -2x + (-1 + -1m) = 0

Reorder the terms:
-1 + -1m + mx + -2x + x2M = 0

Solving
-1 + -1m + mx + -2x + x2M = 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 + -1m + mx + -2x + 1 + x2M = 0 + 1

Reorder the terms:
-1 + 1 + -1m + mx + -2x + x2M = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1m + mx + -2x + x2M = 0 + 1
-1m + mx + -2x + x2M = 0 + 1

Combine like terms: 0 + 1 = 1
-1m + mx + -2x + x2M = 1

Add '2x' to each side of the equation.
-1m + mx + -2x + 2x + x2M = 1 + 2x

Combine like terms: -2x + 2x = 0
-1m + mx + 0 + x2M = 1 + 2x
-1m + mx + x2M = 1 + 2x

Add '-1x2M' to each side of the equation.
-1m + mx + x2M + -1x2M = 1 + 2x + -1x2M

Combine like terms: x2M + -1x2M = 0
-1m + mx + 0 = 1 + 2x + -1x2M
-1m + mx = 1 + 2x + -1x2M

Reorder the terms:
-1 + -1m + mx + -2x + x2M = 1 + 2x + -1x2M + -1 + -2x + x2M

Reorder the terms:
-1 + -1m + mx + -2x + x2M = 1 + -1 + 2x + -2x + -1x2M + x2M

Combine like terms: 1 + -1 = 0
-1 + -1m + mx + -2x + x2M = 0 + 2x + -2x + -1x2M + x2M
-1 + -1m + mx + -2x + x2M = 2x + -2x + -1x2M + x2M

Combine like terms: 2x + -2x = 0
-1 + -1m + mx + -2x + x2M = 0 + -1x2M + x2M
-1 + -1m + mx + -2x + x2M = -1x2M + x2M

Combine like terms: -1x2M + x2M = 0
-1 + -1m + mx + -2x + x2M = 0

The solution to this equation could not be determined.

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