(-6m+6)(3m+4m-3)=

Solution for (-6m+6)(3m+4m-3)= equation:

Simplifying
(-6m + 6)(3m + 4m + -3) = 0

Reorder the terms:
(6 + -6m)(3m + 4m + -3) = 0

Reorder the terms:
(6 + -6m)(-3 + 3m + 4m) = 0

Combine like terms: 3m + 4m = 7m
(6 + -6m)(-3 + 7m) = 0

Multiply (6 + -6m) * (-3 + 7m)
(6(-3 + 7m) + -6m * (-3 + 7m)) = 0
((-3 * 6 + 7m * 6) + -6m * (-3 + 7m)) = 0
((-18 + 42m) + -6m * (-3 + 7m)) = 0
(-18 + 42m + (-3 * -6m + 7m * -6m)) = 0
(-18 + 42m + (18m + -42m2)) = 0

Combine like terms: 42m + 18m = 60m
(-18 + 60m + -42m2) = 0

Solving
-18 + 60m + -42m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-3 + 10m + -7m2) = 0

Factor a trinomial.
6((-1 + m)(3 + -7m)) = 0

Ignore the factor 6.
Subproblem 1
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
Subproblem 2
Set the factor '(3 + -7m)' equal to zero and attempt to solve:

Simplifying
3 + -7m = 0

Solving
3 + -7m = 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 + -7m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7m = 0 + -3
-7m = 0 + -3

Combine like terms: 0 + -3 = -3
-7m = -3

Divide each side by '-7'.
m = 0.4285714286

Simplifying
m = 0.4285714286
Solution
m = {1, 0.4285714286}