(5m+2)(5m+1)=

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

Simplifying
(5m + 2)(5m + 1) = 0

Reorder the terms:
(2 + 5m)(5m + 1) = 0

Reorder the terms:
(2 + 5m)(1 + 5m) = 0

Multiply (2 + 5m) * (1 + 5m)
(2(1 + 5m) + 5m * (1 + 5m)) = 0
((1 * 2 + 5m * 2) + 5m * (1 + 5m)) = 0
((2 + 10m) + 5m * (1 + 5m)) = 0
(2 + 10m + (1 * 5m + 5m * 5m)) = 0
(2 + 10m + (5m + 25m2)) = 0

Combine like terms: 10m + 5m = 15m
(2 + 15m + 25m2) = 0

Solving
2 + 15m + 25m2 = 0

Solving for variable 'm'.

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

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

Simplifying
2 + 5m = 0

Solving
2 + 5m = 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 + 5m = 0 + -2

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

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

Divide each side by '5'.
m = -0.4

Simplifying
m = -0.4
Subproblem 2
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
Solution
m = {-0.4, -0.2}