(5m+5)(10m+10)=

Solution for (5m+5)(10m+10)= equation:

Simplifying
(5m + 5)(10m + 10) = 0

Reorder the terms:
(5 + 5m)(10m + 10) = 0

Reorder the terms:
(5 + 5m)(10 + 10m) = 0

Multiply (5 + 5m) * (10 + 10m)
(5(10 + 10m) + 5m * (10 + 10m)) = 0
((10 * 5 + 10m * 5) + 5m * (10 + 10m)) = 0
((50 + 50m) + 5m * (10 + 10m)) = 0
(50 + 50m + (10 * 5m + 10m * 5m)) = 0
(50 + 50m + (50m + 50m2)) = 0

Combine like terms: 50m + 50m = 100m
(50 + 100m + 50m2) = 0

Solving
50 + 100m + 50m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '50'.
50(1 + 2m + m2) = 0

Factor a trinomial.
50((1 + m)(1 + m)) = 0

Ignore the factor 50.
Subproblem 1
Set the factor '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

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

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

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

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

Simplifying
1 + m = 0

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

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

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

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