x^2+2(m-1)+(m+5)=0

Solution for x^2+2(m-1)+(m+5)=0 equation:

Simplifying
x2 + 2(m + -1) + (m + 5) = 0

Reorder the terms:
x2 + 2(-1 + m) + (m + 5) = 0
x2 + (-1 * 2 + m * 2) + (m + 5) = 0
x2 + (-2 + 2m) + (m + 5) = 0

Reorder the terms:
x2 + -2 + 2m + (5 + m) = 0

Remove parenthesis around (5 + m)
x2 + -2 + 2m + 5 + m = 0

Reorder the terms:
-2 + 5 + 2m + m + x2 = 0

Combine like terms: -2 + 5 = 3
3 + 2m + m + x2 = 0

Combine like terms: 2m + m = 3m
3 + 3m + x2 = 0

Solving
3 + 3m + x2 = 0

Solving for variable 'm'.

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

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

Reorder the terms:
3 + -3 + 3m + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 3m + x2 = 0 + -3
3m + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
3m + x2 = -3

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

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

Divide each side by '3'.
m = -1 + -0.3333333333x2

Simplifying
m = -1 + -0.3333333333x2