(4m-2)*(4m-3)=

Solution for (4m-2)*(4m-3)= equation:

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

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

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

Multiply (-2 + 4m) * (-3 + 4m)
(-2(-3 + 4m) + 4m * (-3 + 4m)) = 0
((-3 * -2 + 4m * -2) + 4m * (-3 + 4m)) = 0
((6 + -8m) + 4m * (-3 + 4m)) = 0
(6 + -8m + (-3 * 4m + 4m * 4m)) = 0
(6 + -8m + (-12m + 16m2)) = 0

Combine like terms: -8m + -12m = -20m
(6 + -20m + 16m2) = 0

Solving
6 + -20m + 16m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -10m + 8m2) = 0

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

Ignore the factor 2.
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}