-20=5m^2+29m

Solution for -20=5m^2+29m equation:

Simplifying
-20 = 5m2 + 29m

Reorder the terms:
-20 = 29m + 5m2

Solving
-20 = 29m + 5m2

Solving for variable 'm'.

Reorder the terms:
-20 + -29m + -5m2 = 29m + -29m + 5m2 + -5m2

Combine like terms: 29m + -29m = 0
-20 + -29m + -5m2 = 0 + 5m2 + -5m2
-20 + -29m + -5m2 = 5m2 + -5m2

Combine like terms: 5m2 + -5m2 = 0
-20 + -29m + -5m2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(20 + 29m + 5m2) = 0

Factor a trinomial.
-1((5 + m)(4 + 5m)) = 0

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

Simplifying
5 + m = 0

Solving
5 + m = 0

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

Add '-5' to each side of the equation.
5 + -5 + m = 0 + -5

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

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

Simplifying
m = -5
Subproblem 2
Set the factor '(4 + 5m)' equal to zero and attempt to solve:

Simplifying
4 + 5m = 0

Solving
4 + 5m = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5m = 0 + -4
5m = 0 + -4

Combine like terms: 0 + -4 = -4
5m = -4

Divide each side by '5'.
m = -0.8

Simplifying
m = -0.8
Solution
m = {-5, -0.8}