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

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


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

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

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

Reorder the terms:
x2 + (2mx + -4x) + (m + -1)(m + -3) = 0
x2 + (2mx + -4x) + (m + -1)(m + -3) = 0

Reorder the terms:
x2 + 2mx + -4x + (-1 + m)(m + -3) = 0

Reorder the terms:
x2 + 2mx + -4x + (-1 + m)(-3 + m) = 0

Multiply (-1 + m) * (-3 + m)
x2 + 2mx + -4x + (-1(-3 + m) + m(-3 + m)) = 0
x2 + 2mx + -4x + ((-3 * -1 + m * -1) + m(-3 + m)) = 0
x2 + 2mx + -4x + ((3 + -1m) + m(-3 + m)) = 0
x2 + 2mx + -4x + (3 + -1m + (-3 * m + m * m)) = 0
x2 + 2mx + -4x + (3 + -1m + (-3m + m2)) = 0

Combine like terms: -1m + -3m = -4m
x2 + 2mx + -4x + (3 + -4m + m2) = 0

Reorder the terms:
3 + -4m + 2mx + m2 + -4x + x2 = 0

Solving
3 + -4m + 2mx + m2 + -4x + x2 = 0

Solving for variable 'm'.

The solution to this equation could not be determined.

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