(4m^2-6)(4m^2+6)=

Solution for (4m^2-6)(4m^2+6)= equation:

Simplifying
(4m2 + -6)(4m2 + 6) = 0

Reorder the terms:
(-6 + 4m2)(4m2 + 6) = 0

Reorder the terms:
(-6 + 4m2)(6 + 4m2) = 0

Multiply (-6 + 4m2) * (6 + 4m2)
(-6(6 + 4m2) + 4m2 * (6 + 4m2)) = 0
((6 * -6 + 4m2 * -6) + 4m2 * (6 + 4m2)) = 0
((-36 + -24m2) + 4m2 * (6 + 4m2)) = 0
(-36 + -24m2 + (6 * 4m2 + 4m2 * 4m2)) = 0
(-36 + -24m2 + (24m2 + 16m4)) = 0

Combine like terms: -24m2 + 24m2 = 0
(-36 + 0 + 16m4) = 0
(-36 + 16m4) = 0

Solving
-36 + 16m4 = 0

Solving for variable 'm'.

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

Add '36' to each side of the equation.
-36 + 36 + 16m4 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 16m4 = 0 + 36
16m4 = 0 + 36

Combine like terms: 0 + 36 = 36
16m4 = 36

Divide each side by '16'.
m4 = 2.25

Simplifying
m4 = 2.25

Reorder the terms:
-2.25 + m4 = 2.25 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
-2.25 + m4 = 0.00

Factor a difference between two squares.
(1.5 + m2)(-1.5 + m2) = 0.00

Subproblem 1
Set the factor '(1.5 + m2)' equal to zero and attempt to solve:

Simplifying
1.5 + m2 = 0

Solving
1.5 + m2 = 0

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + m2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + m2 = 0 + -1.5
m2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
m2 = -1.5

Simplifying
m2 = -1.5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-1.5 + m2)' equal to zero and attempt to solve:

Simplifying
-1.5 + m2 = 0

Solving
-1.5 + m2 = 0

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + m2 = 0 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + m2 = 0 + 1.5
m2 = 0 + 1.5

Combine like terms: 0 + 1.5 = 1.5
m2 = 1.5

Simplifying
m2 = 1.5

Take the square root of each side:
m = {-1.224744871, 1.224744871}
Solution
m = {-1.224744871, 1.224744871}