-40=9m^2+94m

Solution for -40=9m^2+94m equation:

Simplifying
-40 = 9m2 + 94m

Reorder the terms:
-40 = 94m + 9m2

Solving
-40 = 94m + 9m2

Solving for variable 'm'.

Reorder the terms:
-40 + -94m + -9m2 = 94m + -94m + 9m2 + -9m2

Combine like terms: 94m + -94m = 0
-40 + -94m + -9m2 = 0 + 9m2 + -9m2
-40 + -94m + -9m2 = 9m2 + -9m2

Combine like terms: 9m2 + -9m2 = 0
-40 + -94m + -9m2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(40 + 94m + 9m2) = 0

Factor a trinomial.
-1((10 + m)(4 + 9m)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(10 + m)' equal to zero and attempt to solve:

Simplifying
10 + m = 0

Solving
10 + m = 0

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

Add '-10' to each side of the equation.
10 + -10 + m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + m = 0 + -10
m = 0 + -10

Combine like terms: 0 + -10 = -10
m = -10

Simplifying
m = -10
Subproblem 2
Set the factor '(4 + 9m)' equal to zero and attempt to solve:

Simplifying
4 + 9m = 0

Solving
4 + 9m = 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 + 9m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 9m = 0 + -4
9m = 0 + -4

Combine like terms: 0 + -4 = -4
9m = -4

Divide each side by '9'.
m = -0.4444444444

Simplifying
m = -0.4444444444
Solution
m = {-10, -0.4444444444}