3m^2+10m-36=-4

Solution for 3m^2+10m-36=-4 equation:

Simplifying
3m2 + 10m + -36 = -4

Reorder the terms:
-36 + 10m + 3m2 = -4

Solving
-36 + 10m + 3m2 = -4

Solving for variable 'm'.

Reorder the terms:
-36 + 4 + 10m + 3m2 = -4 + 4

Combine like terms: -36 + 4 = -32
-32 + 10m + 3m2 = -4 + 4

Combine like terms: -4 + 4 = 0
-32 + 10m + 3m2 = 0

Factor a trinomial.
(-16 + -3m)(2 + -1m) = 0

Subproblem 1
Set the factor '(-16 + -3m)' equal to zero and attempt to solve:

Simplifying
-16 + -3m = 0

Solving
-16 + -3m = 0

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

Add '16' to each side of the equation.
-16 + 16 + -3m = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -3m = 0 + 16
-3m = 0 + 16

Combine like terms: 0 + 16 = 16
-3m = 16

Divide each side by '-3'.
m = -5.333333333

Simplifying
m = -5.333333333
Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-5.333333333, 2}