4(4m-5)(m-6)=0

Solution for 4(4m-5)(m-6)=0 equation:

Simplifying
4(4m + -5)(m + -6) = 0

Reorder the terms:
4(-5 + 4m)(m + -6) = 0

Reorder the terms:
4(-5 + 4m)(-6 + m) = 0

Multiply (-5 + 4m) * (-6 + m)
4(-5(-6 + m) + 4m * (-6 + m)) = 0
4((-6 * -5 + m * -5) + 4m * (-6 + m)) = 0
4((30 + -5m) + 4m * (-6 + m)) = 0
4(30 + -5m + (-6 * 4m + m * 4m)) = 0
4(30 + -5m + (-24m + 4m2)) = 0

Combine like terms: -5m + -24m = -29m
4(30 + -29m + 4m2) = 0
(30 * 4 + -29m * 4 + 4m2 * 4) = 0
(120 + -116m + 16m2) = 0

Solving
120 + -116m + 16m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4'.
4(30 + -29m + 4m2) = 0

Factor a trinomial.
4((5 + -4m)(6 + -1m)) = 0

Ignore the factor 4.
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 '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1m = 0 + -6

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

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

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Solution
m = {1.25, 6}