(m+2)(5m+1)-4=20m

Solution for (m+2)(5m+1)-4=20m equation:

Simplifying
(m + 2)(5m + 1) + -4 = 20m

Reorder the terms:
(2 + m)(5m + 1) + -4 = 20m

Reorder the terms:
(2 + m)(1 + 5m) + -4 = 20m

Multiply (2 + m) * (1 + 5m)
(2(1 + 5m) + m(1 + 5m)) + -4 = 20m
((1 * 2 + 5m * 2) + m(1 + 5m)) + -4 = 20m
((2 + 10m) + m(1 + 5m)) + -4 = 20m
(2 + 10m + (1 * m + 5m * m)) + -4 = 20m
(2 + 10m + (1m + 5m2)) + -4 = 20m

Combine like terms: 10m + 1m = 11m
(2 + 11m + 5m2) + -4 = 20m

Reorder the terms:
2 + -4 + 11m + 5m2 = 20m

Combine like terms: 2 + -4 = -2
-2 + 11m + 5m2 = 20m

Solving
-2 + 11m + 5m2 = 20m

Solving for variable 'm'.

Reorder the terms:
-2 + 11m + -20m + 5m2 = 20m + -20m

Combine like terms: 11m + -20m = -9m
-2 + -9m + 5m2 = 20m + -20m

Combine like terms: 20m + -20m = 0
-2 + -9m + 5m2 = 0

Factor a trinomial.
(-1 + -5m)(2 + -1m) = 0

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

Simplifying
-1 + -5m = 0

Solving
-1 + -5m = 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 + -5m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5m = 0 + 1
-5m = 0 + 1

Combine like terms: 0 + 1 = 1
-5m = 1

Divide each side by '-5'.
m = -0.2

Simplifying
m = -0.2
Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

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

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

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

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-0.2, 2}