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

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


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

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

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

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

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

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

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

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

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

Solving for variable 'm'.

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

Add '-2x' to each side of the equation.
m + 2mx + 3mx2 + 2x + -2x + 1x2 = 0 + -2x

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

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

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

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

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

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

The solution to this equation could not be determined.

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