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

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


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

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

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

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

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

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

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

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

Solving
1 + mx + mx2 + -2x + -3x2 = 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 + mx + mx2 + -2x + -1 + -3x2 = 0 + -1

Reorder the terms:
1 + -1 + mx + mx2 + -2x + -3x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + mx + mx2 + -2x + -3x2 = 0 + -1
mx + mx2 + -2x + -3x2 = 0 + -1

Combine like terms: 0 + -1 = -1
mx + mx2 + -2x + -3x2 = -1

Add '2x' to each side of the equation.
mx + mx2 + -2x + 2x + -3x2 = -1 + 2x

Combine like terms: -2x + 2x = 0
mx + mx2 + 0 + -3x2 = -1 + 2x
mx + mx2 + -3x2 = -1 + 2x

Add '3x2' to each side of the equation.
mx + mx2 + -3x2 + 3x2 = -1 + 2x + 3x2

Combine like terms: -3x2 + 3x2 = 0
mx + mx2 + 0 = -1 + 2x + 3x2
mx + mx2 = -1 + 2x + 3x2

Reorder the terms:
1 + mx + mx2 + -2x + -3x2 = -1 + 2x + 3x2 + 1 + -2x + -3x2

Reorder the terms:
1 + mx + mx2 + -2x + -3x2 = -1 + 1 + 2x + -2x + 3x2 + -3x2

Combine like terms: -1 + 1 = 0
1 + mx + mx2 + -2x + -3x2 = 0 + 2x + -2x + 3x2 + -3x2
1 + mx + mx2 + -2x + -3x2 = 2x + -2x + 3x2 + -3x2

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

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

The solution to this equation could not be determined.

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