(6m+1)(4m-3)=

Solution for (6m+1)(4m-3)= equation:

Simplifying
(6m + 1)(4m + -3) = 0

Reorder the terms:
(1 + 6m)(4m + -3) = 0

Reorder the terms:
(1 + 6m)(-3 + 4m) = 0

Multiply (1 + 6m) * (-3 + 4m)
(1(-3 + 4m) + 6m * (-3 + 4m)) = 0
((-3 * 1 + 4m * 1) + 6m * (-3 + 4m)) = 0
((-3 + 4m) + 6m * (-3 + 4m)) = 0
(-3 + 4m + (-3 * 6m + 4m * 6m)) = 0
(-3 + 4m + (-18m + 24m2)) = 0

Combine like terms: 4m + -18m = -14m
(-3 + -14m + 24m2) = 0

Solving
-3 + -14m + 24m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-1 + -6m)(3 + -4m) = 0

Subproblem 1
Set the factor '(-1 + -6m)' equal to zero and attempt to solve:

Simplifying
-1 + -6m = 0

Solving
-1 + -6m = 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 + -6m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6m = 0 + 1
-6m = 0 + 1

Combine like terms: 0 + 1 = 1
-6m = 1

Divide each side by '-6'.
m = -0.1666666667

Simplifying
m = -0.1666666667
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 = {-0.1666666667, 0.75}