7(4m-3)(2m+1)=

Solution for 7(4m-3)(2m+1)= equation:

Simplifying
7(4m + -3)(2m + 1) = 0

Reorder the terms:
7(-3 + 4m)(2m + 1) = 0

Reorder the terms:
7(-3 + 4m)(1 + 2m) = 0

Multiply (-3 + 4m) * (1 + 2m)
7(-3(1 + 2m) + 4m * (1 + 2m)) = 0
7((1 * -3 + 2m * -3) + 4m * (1 + 2m)) = 0
7((-3 + -6m) + 4m * (1 + 2m)) = 0
7(-3 + -6m + (1 * 4m + 2m * 4m)) = 0
7(-3 + -6m + (4m + 8m2)) = 0

Combine like terms: -6m + 4m = -2m
7(-3 + -2m + 8m2) = 0
(-3 * 7 + -2m * 7 + 8m2 * 7) = 0
(-21 + -14m + 56m2) = 0

Solving
-21 + -14m + 56m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-3 + -2m + 8m2) = 0

Factor a trinomial.
7((-1 + -2m)(3 + -4m)) = 0

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

Simplifying
-1 + -2m = 0

Solving
-1 + -2m = 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 + -2m = 0 + 1

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

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

Divide each side by '-2'.
m = -0.5

Simplifying
m = -0.5
Subproblem 2
Set the factor '(3 + -4m)' equal to zero and attempt to solve:

Simplifying
3 + -4m = 0

Solving
3 + -4m = 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 + -4m = 0 + -3

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

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

Divide each side by '-4'.
m = 0.75

Simplifying
m = 0.75
Solution
m = {-0.5, 0.75}