mx^2+(2m+1)*x+m+2=0

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

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

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

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

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

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

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

Solving for variable 'm'.

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.