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

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


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

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

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

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

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

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

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

Reorder the terms:
-2 + m + -2mx + mx2 + 2x + 3x2 = 0

Solving
-2 + m + -2mx + mx2 + 2x + 3x2 = 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 + 2x + 2 + 3x2 = 0 + 2

Reorder the terms:
-2 + 2 + m + -2mx + mx2 + 2x + 3x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + m + -2mx + mx2 + 2x + 3x2 = 0 + 2
m + -2mx + mx2 + 2x + 3x2 = 0 + 2

Combine like terms: 0 + 2 = 2
m + -2mx + mx2 + 2x + 3x2 = 2

Add '-2x' to each side of the equation.
m + -2mx + mx2 + 2x + -2x + 3x2 = 2 + -2x

Combine like terms: 2x + -2x = 0
m + -2mx + mx2 + 0 + 3x2 = 2 + -2x
m + -2mx + mx2 + 3x2 = 2 + -2x

Add '-3x2' to each side of the equation.
m + -2mx + mx2 + 3x2 + -3x2 = 2 + -2x + -3x2

Combine like terms: 3x2 + -3x2 = 0
m + -2mx + mx2 + 0 = 2 + -2x + -3x2
m + -2mx + mx2 = 2 + -2x + -3x2

Reorder the terms:
-2 + m + -2mx + mx2 + 2x + 3x2 = 2 + -2x + -3x2 + -2 + 2x + 3x2

Reorder the terms:
-2 + m + -2mx + mx2 + 2x + 3x2 = 2 + -2 + -2x + 2x + -3x2 + 3x2

Combine like terms: 2 + -2 = 0
-2 + m + -2mx + mx2 + 2x + 3x2 = 0 + -2x + 2x + -3x2 + 3x2
-2 + m + -2mx + mx2 + 2x + 3x2 = -2x + 2x + -3x2 + 3x2

Combine like terms: -2x + 2x = 0
-2 + m + -2mx + mx2 + 2x + 3x2 = 0 + -3x2 + 3x2
-2 + m + -2mx + mx2 + 2x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-2 + m + -2mx + mx2 + 2x + 3x2 = 0

The solution to this equation could not be determined.

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