=4m^2+10m-50

Solution for =4m^2+10m-50 equation:

Simplifying
0 = 4m2 + 10m + -50

Reorder the terms:
0 = -50 + 10m + 4m2

Solving
0 = -50 + 10m + 4m2

Solving for variable 'm'.

Combine like terms: 0 + 50 = 50
50 + -10m + -4m2 = -50 + 10m + 4m2 + 50 + -10m + -4m2

Reorder the terms:
50 + -10m + -4m2 = -50 + 50 + 10m + -10m + 4m2 + -4m2

Combine like terms: -50 + 50 = 0
50 + -10m + -4m2 = 0 + 10m + -10m + 4m2 + -4m2
50 + -10m + -4m2 = 10m + -10m + 4m2 + -4m2

Combine like terms: 10m + -10m = 0
50 + -10m + -4m2 = 0 + 4m2 + -4m2
50 + -10m + -4m2 = 4m2 + -4m2

Combine like terms: 4m2 + -4m2 = 0
50 + -10m + -4m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + -5m + -2m2) = 0

Factor a trinomial.
2((5 + -2m)(5 + m)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + -2m)' equal to zero and attempt to solve:

Simplifying
5 + -2m = 0

Solving
5 + -2m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2m = 0 + -5

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

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

Divide each side by '-2'.
m = 2.5

Simplifying
m = 2.5
Subproblem 2
Set the factor '(5 + m)' equal to zero and attempt to solve:

Simplifying
5 + m = 0

Solving
5 + m = 0

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

Add '-5' to each side of the equation.
5 + -5 + m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + m = 0 + -5
m = 0 + -5

Combine like terms: 0 + -5 = -5
m = -5

Simplifying
m = -5
Solution
m = {2.5, -5}