4m^2+20m=24

Solution for 4m^2+20m=24 equation:

Simplifying
4m2 + 20m = 24

Reorder the terms:
20m + 4m2 = 24

Solving
20m + 4m2 = 24

Solving for variable 'm'.

Reorder the terms:
-24 + 20m + 4m2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 20m + 4m2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + 5m + m2) = 0

Factor a trinomial.
4((-6 + -1m)(1 + -1m)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-6 + -1m)' equal to zero and attempt to solve:

Simplifying
-6 + -1m = 0

Solving
-6 + -1m = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1m = 0 + 6
-1m = 0 + 6

Combine like terms: 0 + 6 = 6
-1m = 6

Divide each side by '-1'.
m = -6

Simplifying
m = -6
Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

Solving
1 + -1m = 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 + -1m = 0 + -1

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

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

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

Simplifying
m = 1
Solution
m = {-6, 1}