(3m+7)(4m-8)=

Solution for (3m+7)(4m-8)= equation:

Simplifying
(3m + 7)(4m + -8) = 0

Reorder the terms:
(7 + 3m)(4m + -8) = 0

Reorder the terms:
(7 + 3m)(-8 + 4m) = 0

Multiply (7 + 3m) * (-8 + 4m)
(7(-8 + 4m) + 3m * (-8 + 4m)) = 0
((-8 * 7 + 4m * 7) + 3m * (-8 + 4m)) = 0
((-56 + 28m) + 3m * (-8 + 4m)) = 0
(-56 + 28m + (-8 * 3m + 4m * 3m)) = 0
(-56 + 28m + (-24m + 12m2)) = 0

Combine like terms: 28m + -24m = 4m
(-56 + 4m + 12m2) = 0

Solving
-56 + 4m + 12m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-14 + m + 3m2) = 0

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

Ignore the factor 4.
Subproblem 1
Set the factor '(-7 + -3m)' equal to zero and attempt to solve:

Simplifying
-7 + -3m = 0

Solving
-7 + -3m = 0

Move all terms containing m to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -3m = 0 + 7

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

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

Divide each side by '-3'.
m = -2.333333333

Simplifying
m = -2.333333333
Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

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

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

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-2.333333333, 2}