m^2-2=-m^2+5m+1

Solution for m^2-2=-m^2+5m+1 equation:

Simplifying
m2 + -2 = -1m2 + 5m + 1

Reorder the terms:
-2 + m2 = -1m2 + 5m + 1

Reorder the terms:
-2 + m2 = 1 + 5m + -1m2

Solving
-2 + m2 = 1 + 5m + -1m2

Solving for variable 'm'.

Reorder the terms:
-2 + -1 + -5m + m2 + m2 = 1 + 5m + -1m2 + -1 + -5m + m2

Combine like terms: -2 + -1 = -3
-3 + -5m + m2 + m2 = 1 + 5m + -1m2 + -1 + -5m + m2

Combine like terms: m2 + m2 = 2m2
-3 + -5m + 2m2 = 1 + 5m + -1m2 + -1 + -5m + m2

Reorder the terms:
-3 + -5m + 2m2 = 1 + -1 + 5m + -5m + -1m2 + m2

Combine like terms: 1 + -1 = 0
-3 + -5m + 2m2 = 0 + 5m + -5m + -1m2 + m2
-3 + -5m + 2m2 = 5m + -5m + -1m2 + m2

Combine like terms: 5m + -5m = 0
-3 + -5m + 2m2 = 0 + -1m2 + m2
-3 + -5m + 2m2 = -1m2 + m2

Combine like terms: -1m2 + m2 = 0
-3 + -5m + 2m2 = 0

Factor a trinomial.
(-1 + -2m)(3 + -1m) = 0

Subproblem 1
Set the factor '(-1 + -2m)' equal to zero and attempt to solve:

Simplifying
-1 + -2m = 0

Solving
-1 + -2m = 0

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

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

Combine like terms: -1 + 1 = 0
0 + -2m = 0 + 1
-2m = 0 + 1

Combine like terms: 0 + 1 = 1
-2m = 1

Divide each side by '-2'.
m = -0.5

Simplifying
m = -0.5
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 0

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

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

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

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

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-0.5, 3}