(m+2)*x^2+2(m+2)x+m=0

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

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

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

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

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

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

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

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

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

Solving
m + 2mx + mx2 + 4x + 2x2 = 0

Solving for variable 'm'.

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

Add '-4x' to each side of the equation.
m + 2mx + mx2 + 4x + -4x + 2x2 = 0 + -4x

Combine like terms: 4x + -4x = 0
m + 2mx + mx2 + 0 + 2x2 = 0 + -4x
m + 2mx + mx2 + 2x2 = 0 + -4x
Remove the zero:
m + 2mx + mx2 + 2x2 = -4x

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

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

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

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

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

The solution to this equation could not be determined.