mx^2-4x+m+1=x(2m-3x)

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Solution for mx^2-4x+m+1=x(2m-3x) equation: 


Simplifying
mx2 + -4x + m + 1 = x(2m + -3x)

Reorder the terms:
1 + m + mx2 + -4x = x(2m + -3x)
1 + m + mx2 + -4x = (2m * x + -3x * x)
1 + m + mx2 + -4x = (2mx + -3x2)

Solving
1 + m + mx2 + -4x = 2mx + -3x2

Solving for variable 'm'.

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

Add '-2mx' to each side of the equation.
1 + m + mx2 + -2mx + -4x = 2mx + -2mx + -3x2

Reorder the terms:
1 + m + -2mx + mx2 + -4x = 2mx + -2mx + -3x2

Combine like terms: 2mx + -2mx = 0
1 + m + -2mx + mx2 + -4x = 0 + -3x2
1 + m + -2mx + mx2 + -4x = -3x2

Add '-1' to each side of the equation.
1 + m + -2mx + mx2 + -1 + -4x = -1 + -3x2

Reorder the terms:
1 + -1 + m + -2mx + mx2 + -4x = -1 + -3x2

Combine like terms: 1 + -1 = 0
0 + m + -2mx + mx2 + -4x = -1 + -3x2
m + -2mx + mx2 + -4x = -1 + -3x2

Add '4x' to each side of the equation.
m + -2mx + mx2 + -4x + 4x = -1 + 4x + -3x2

Combine like terms: -4x + 4x = 0
m + -2mx + mx2 + 0 = -1 + 4x + -3x2
m + -2mx + mx2 = -1 + 4x + -3x2

Reorder the terms:
1 + m + -2mx + mx2 + -4x + 3x2 = -1 + 4x + -3x2 + 1 + -4x + 3x2

Reorder the terms:
1 + m + -2mx + mx2 + -4x + 3x2 = -1 + 1 + 4x + -4x + -3x2 + 3x2

Combine like terms: -1 + 1 = 0
1 + m + -2mx + mx2 + -4x + 3x2 = 0 + 4x + -4x + -3x2 + 3x2
1 + m + -2mx + mx2 + -4x + 3x2 = 4x + -4x + -3x2 + 3x2

Combine like terms: 4x + -4x = 0
1 + m + -2mx + mx2 + -4x + 3x2 = 0 + -3x2 + 3x2
1 + m + -2mx + mx2 + -4x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
1 + m + -2mx + mx2 + -4x + 3x2 = 0

The solution to this equation could not be determined.

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