(4m-6)(4m-6)=

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

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

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

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

Multiply (-6 + 4m) * (-6 + 4m)
(-6(-6 + 4m) + 4m * (-6 + 4m)) = 0
((-6 * -6 + 4m * -6) + 4m * (-6 + 4m)) = 0
((36 + -24m) + 4m * (-6 + 4m)) = 0
(36 + -24m + (-6 * 4m + 4m * 4m)) = 0
(36 + -24m + (-24m + 16m2)) = 0

Combine like terms: -24m + -24m = -48m
(36 + -48m + 16m2) = 0

Solving
36 + -48m + 16m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + -12m + 4m2) = 0

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

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + -2m)' equal to zero and attempt to solve:

Simplifying
3 + -2m = 0

Solving
3 + -2m = 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 + -2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2m = 0 + -3
-2m = 0 + -3

Combine like terms: 0 + -3 = -3
-2m = -3

Divide each side by '-2'.
m = 1.5

Simplifying
m = 1.5
Subproblem 2
Set the factor '(3 + -2m)' equal to zero and attempt to solve:

Simplifying
3 + -2m = 0

Solving
3 + -2m = 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 + -2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2m = 0 + -3
-2m = 0 + -3

Combine like terms: 0 + -3 = -3
-2m = -3

Divide each side by '-2'.
m = 1.5

Simplifying
m = 1.5
Solution
m = {1.5, 1.5}