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

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

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

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

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

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

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

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

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

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

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

Solving for variable 'm'.

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

Add 'x' to each side of the equation.
m + -3mx + mx2 + -1x + x + 3x2 = 0 + x

Combine like terms: -1x + x = 0
m + -3mx + mx2 + 0 + 3x2 = 0 + x
m + -3mx + mx2 + 3x2 = 0 + x
Remove the zero:
m + -3mx + mx2 + 3x2 = x

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

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

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

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

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

The solution to this equation could not be determined.