mx^2-(2m-4x)x+(m+1)=0

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Solution for mx^2-(2m-4x)x+(m+1)=0 equation:


Simplifying
mx2 + -1(2m + -4x) * x + (m + 1) = 0

Reorder the terms for easier multiplication:
mx2 + -1x(2m + -4x) + (m + 1) = 0
mx2 + (2m * -1x + -4x * -1x) + (m + 1) = 0
mx2 + (-2mx + 4x2) + (m + 1) = 0

Reorder the terms:
mx2 + -2mx + 4x2 + (1 + m) = 0

Remove parenthesis around (1 + m)
mx2 + -2mx + 4x2 + 1 + m = 0

Reorder the terms:
1 + m + -2mx + mx2 + 4x2 = 0

Solving
1 + m + -2mx + mx2 + 4x2 = 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 + m + -2mx + mx2 + -1 + 4x2 = 0 + -1

Reorder the terms:
1 + -1 + m + -2mx + mx2 + 4x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + m + -2mx + mx2 + 4x2 = 0 + -1
m + -2mx + mx2 + 4x2 = 0 + -1

Combine like terms: 0 + -1 = -1
m + -2mx + mx2 + 4x2 = -1

Add '-4x2' to each side of the equation.
m + -2mx + mx2 + 4x2 + -4x2 = -1 + -4x2

Combine like terms: 4x2 + -4x2 = 0
m + -2mx + mx2 + 0 = -1 + -4x2
m + -2mx + mx2 = -1 + -4x2

Reorder the terms:
1 + m + -2mx + mx2 + 4x2 = -1 + -4x2 + 1 + 4x2

Reorder the terms:
1 + m + -2mx + mx2 + 4x2 = -1 + 1 + -4x2 + 4x2

Combine like terms: -1 + 1 = 0
1 + m + -2mx + mx2 + 4x2 = 0 + -4x2 + 4x2
1 + m + -2mx + mx2 + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
1 + m + -2mx + mx2 + 4x2 = 0

The solution to this equation could not be determined.

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