(7m-4)(3m+1)=

Solution for (7m-4)(3m+1)= equation:

Simplifying
(7m + -4)(3m + 1) = 0

Reorder the terms:
(-4 + 7m)(3m + 1) = 0

Reorder the terms:
(-4 + 7m)(1 + 3m) = 0

Multiply (-4 + 7m) * (1 + 3m)
(-4(1 + 3m) + 7m * (1 + 3m)) = 0
((1 * -4 + 3m * -4) + 7m * (1 + 3m)) = 0
((-4 + -12m) + 7m * (1 + 3m)) = 0
(-4 + -12m + (1 * 7m + 3m * 7m)) = 0
(-4 + -12m + (7m + 21m2)) = 0

Combine like terms: -12m + 7m = -5m
(-4 + -5m + 21m2) = 0

Solving
-4 + -5m + 21m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-1 + -3m)(4 + -7m) = 0

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

Simplifying
-1 + -3m = 0

Solving
-1 + -3m = 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 + -3m = 0 + 1

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

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

Divide each side by '-3'.
m = -0.3333333333

Simplifying
m = -0.3333333333
Subproblem 2
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
Solution
m = {-0.3333333333, 0.5714285714}