-9m+3=2m(m-4)

Solution for -9m+3=2m(m-4) equation:

Simplifying
-9m + 3 = 2m(m + -4)

Reorder the terms:
3 + -9m = 2m(m + -4)

Reorder the terms:
3 + -9m = 2m(-4 + m)
3 + -9m = (-4 * 2m + m * 2m)
3 + -9m = (-8m + 2m2)

Solving
3 + -9m = -8m + 2m2

Solving for variable 'm'.

Combine like terms: -9m + 8m = -1m
3 + -1m + -2m2 = -8m + 2m2 + 8m + -2m2

Reorder the terms:
3 + -1m + -2m2 = -8m + 8m + 2m2 + -2m2

Combine like terms: -8m + 8m = 0
3 + -1m + -2m2 = 0 + 2m2 + -2m2
3 + -1m + -2m2 = 2m2 + -2m2

Combine like terms: 2m2 + -2m2 = 0
3 + -1m + -2m2 = 0

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

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

Simplifying
1 + -1m = 0

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

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

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

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

Simplifying
m = 1
Subproblem 2
Set the factor '(3 + 2m)' equal to zero and attempt to solve:

Simplifying
3 + 2m = 0

Solving
3 + 2m = 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 + 2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2m = 0 + -3
2m = 0 + -3

Combine like terms: 0 + -3 = -3
2m = -3

Divide each side by '2'.
m = -1.5

Simplifying
m = -1.5
Solution
m = {1, -1.5}