20m(m+1)=3m-3

Solution for 20m(m+1)=3m-3 equation:

Simplifying
20m(m + 1) = 3m + -3

Reorder the terms:
20m(1 + m) = 3m + -3
(1 * 20m + m * 20m) = 3m + -3
(20m + 20m2) = 3m + -3

Reorder the terms:
20m + 20m2 = -3 + 3m

Solving
20m + 20m2 = -3 + 3m

Solving for variable 'm'.

Reorder the terms:
3 + 20m + -3m + 20m2 = -3 + 3m + 3 + -3m

Combine like terms: 20m + -3m = 17m
3 + 17m + 20m2 = -3 + 3m + 3 + -3m

Reorder the terms:
3 + 17m + 20m2 = -3 + 3 + 3m + -3m

Combine like terms: -3 + 3 = 0
3 + 17m + 20m2 = 0 + 3m + -3m
3 + 17m + 20m2 = 3m + -3m

Combine like terms: 3m + -3m = 0
3 + 17m + 20m2 = 0

Factor a trinomial.
(3 + 5m)(1 + 4m) = 0

Subproblem 1
Set the factor '(3 + 5m)' equal to zero and attempt to solve:

Simplifying
3 + 5m = 0

Solving
3 + 5m = 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 + 5m = 0 + -3

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

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

Divide each side by '5'.
m = -0.6

Simplifying
m = -0.6
Subproblem 2
Set the factor '(1 + 4m)' equal to zero and attempt to solve:

Simplifying
1 + 4m = 0

Solving
1 + 4m = 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 + 4m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4m = 0 + -1
4m = 0 + -1

Combine like terms: 0 + -1 = -1
4m = -1

Divide each side by '4'.
m = -0.25

Simplifying
m = -0.25
Solution
m = {-0.6, -0.25}