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

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


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

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

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

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

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

Remove parenthesis around (2 + m)
mx2 + -1x2 + 2mx + 2 + m = 0

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

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

Solving for variable 'm'.

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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