7m(m-1)=3(1-m)

Solution for 7m(m-1)=3(1-m) equation:

Simplifying
7m(m + -1) = 3(1 + -1m)

Reorder the terms:
7m(-1 + m) = 3(1 + -1m)
(-1 * 7m + m * 7m) = 3(1 + -1m)
(-7m + 7m2) = 3(1 + -1m)
-7m + 7m2 = (1 * 3 + -1m * 3)
-7m + 7m2 = (3 + -3m)

Solving
-7m + 7m2 = 3 + -3m

Solving for variable 'm'.

Reorder the terms:
-3 + -7m + 3m + 7m2 = 3 + -3m + -3 + 3m

Combine like terms: -7m + 3m = -4m
-3 + -4m + 7m2 = 3 + -3m + -3 + 3m

Reorder the terms:
-3 + -4m + 7m2 = 3 + -3 + -3m + 3m

Combine like terms: 3 + -3 = 0
-3 + -4m + 7m2 = 0 + -3m + 3m
-3 + -4m + 7m2 = -3m + 3m

Combine like terms: -3m + 3m = 0
-3 + -4m + 7m2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
m = {-0.4285714286, 1}