(3m-1)(4m+5)=

Solution for (3m-1)(4m+5)= equation:

Simplifying
(3m + -1)(4m + 5) = 0

Reorder the terms:
(-1 + 3m)(4m + 5) = 0

Reorder the terms:
(-1 + 3m)(5 + 4m) = 0

Multiply (-1 + 3m) * (5 + 4m)
(-1(5 + 4m) + 3m * (5 + 4m)) = 0
((5 * -1 + 4m * -1) + 3m * (5 + 4m)) = 0
((-5 + -4m) + 3m * (5 + 4m)) = 0
(-5 + -4m + (5 * 3m + 4m * 3m)) = 0
(-5 + -4m + (15m + 12m2)) = 0

Combine like terms: -4m + 15m = 11m
(-5 + 11m + 12m2) = 0

Solving
-5 + 11m + 12m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-5 + -4m)(1 + -3m) = 0

Subproblem 1
Set the factor '(-5 + -4m)' equal to zero and attempt to solve:

Simplifying
-5 + -4m = 0

Solving
-5 + -4m = 0

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

Add '5' to each side of the equation.
-5 + 5 + -4m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4m = 0 + 5
-4m = 0 + 5

Combine like terms: 0 + 5 = 5
-4m = 5

Divide each side by '-4'.
m = -1.25

Simplifying
m = -1.25
Subproblem 2
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
Solution
m = {-1.25, 0.3333333333}