5m^2+20m+5=-10

Solution for 5m^2+20m+5=-10 equation:

Simplifying
5m2 + 20m + 5 = -10

Reorder the terms:
5 + 20m + 5m2 = -10

Solving
5 + 20m + 5m2 = -10

Solving for variable 'm'.

Reorder the terms:
5 + 10 + 20m + 5m2 = -10 + 10

Combine like terms: 5 + 10 = 15
15 + 20m + 5m2 = -10 + 10

Combine like terms: -10 + 10 = 0
15 + 20m + 5m2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + 4m + m2) = 0

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

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

Simplifying
3 + m = 0

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

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

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

Simplifying
m = -3
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 = {-3, -1}