2m(2m+5)-5(2m+5)=

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

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

Reorder the terms:
2m(5 + 2m) + -5(2m + 5) = 0
(5 * 2m + 2m * 2m) + -5(2m + 5) = 0
(10m + 4m2) + -5(2m + 5) = 0

Reorder the terms:
10m + 4m2 + -5(5 + 2m) = 0
10m + 4m2 + (5 * -5 + 2m * -5) = 0
10m + 4m2 + (-25 + -10m) = 0

Reorder the terms:
-25 + 10m + -10m + 4m2 = 0

Combine like terms: 10m + -10m = 0
-25 + 0 + 4m2 = 0
-25 + 4m2 = 0

Solving
-25 + 4m2 = 0

Solving for variable 'm'.

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

Add '25' to each side of the equation.
-25 + 25 + 4m2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 4m2 = 0 + 25
4m2 = 0 + 25

Combine like terms: 0 + 25 = 25
4m2 = 25

Divide each side by '4'.
m2 = 6.25

Simplifying
m2 = 6.25

Take the square root of each side:
m = {-2.5, 2.5}