7m(m-1)=4(m-1)

Solution for 7m(m-1)=4(m-1) equation:

Simplifying
7m(m + -1) = 4(m + -1)

Reorder the terms:
7m(-1 + m) = 4(m + -1)
(-1 * 7m + m * 7m) = 4(m + -1)
(-7m + 7m2) = 4(m + -1)

Reorder the terms:
-7m + 7m2 = 4(-1 + m)
-7m + 7m2 = (-1 * 4 + m * 4)
-7m + 7m2 = (-4 + 4m)

Solving
-7m + 7m2 = -4 + 4m

Solving for variable 'm'.

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

Combine like terms: -7m + -4m = -11m
4 + -11m + 7m2 = -4 + 4m + 4 + -4m

Reorder the terms:
4 + -11m + 7m2 = -4 + 4 + 4m + -4m

Combine like terms: -4 + 4 = 0
4 + -11m + 7m2 = 0 + 4m + -4m
4 + -11m + 7m2 = 4m + -4m

Combine like terms: 4m + -4m = 0
4 + -11m + 7m2 = 0

Factor a trinomial.
(4 + -7m)(1 + -1m) = 0

Subproblem 1
Set the factor '(4 + -7m)' equal to zero and attempt to solve:

Simplifying
4 + -7m = 0

Solving
4 + -7m = 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 + -7m = 0 + -4

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

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

Divide each side by '-7'.
m = 0.5714285714

Simplifying
m = 0.5714285714
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 = {0.5714285714, 1}