(4m^2-5)(4m^2+5)=

Solution for (4m^2-5)(4m^2+5)= equation:

Simplifying
(4m2 + -5)(4m2 + 5) = 0

Reorder the terms:
(-5 + 4m2)(4m2 + 5) = 0

Reorder the terms:
(-5 + 4m2)(5 + 4m2) = 0

Multiply (-5 + 4m2) * (5 + 4m2)
(-5(5 + 4m2) + 4m2 * (5 + 4m2)) = 0
((5 * -5 + 4m2 * -5) + 4m2 * (5 + 4m2)) = 0
((-25 + -20m2) + 4m2 * (5 + 4m2)) = 0
(-25 + -20m2 + (5 * 4m2 + 4m2 * 4m2)) = 0
(-25 + -20m2 + (20m2 + 16m4)) = 0

Combine like terms: -20m2 + 20m2 = 0
(-25 + 0 + 16m4) = 0
(-25 + 16m4) = 0

Solving
-25 + 16m4 = 0

Solving for variable 'm'.

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

Add '25' to each side of the equation.
-25 + 25 + 16m4 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 16m4 = 0 + 25
16m4 = 0 + 25

Combine like terms: 0 + 25 = 25
16m4 = 25

Divide each side by '16'.
m4 = 1.5625

Simplifying
m4 = 1.5625

Reorder the terms:
-1.5625 + m4 = 1.5625 + -1.5625

Combine like terms: 1.5625 + -1.5625 = 0.0000
-1.5625 + m4 = 0.0000

Factor a difference between two squares.
(1.25 + m2)(-1.25 + m2) = 0.0000

Subproblem 1
Set the factor '(1.25 + m2)' equal to zero and attempt to solve:

Simplifying
1.25 + m2 = 0

Solving
1.25 + m2 = 0

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

Add '-1.25' to each side of the equation.
1.25 + -1.25 + m2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + m2 = 0 + -1.25
m2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
m2 = -1.25

Simplifying
m2 = -1.25

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 '(-1.25 + m2)' equal to zero and attempt to solve:

Simplifying
-1.25 + m2 = 0

Solving
-1.25 + m2 = 0

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

Add '1.25' to each side of the equation.
-1.25 + 1.25 + m2 = 0 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + m2 = 0 + 1.25
m2 = 0 + 1.25

Combine like terms: 0 + 1.25 = 1.25
m2 = 1.25

Simplifying
m2 = 1.25

Take the square root of each side:
m = {-1.118033989, 1.118033989}
Solution
m = {-1.118033989, 1.118033989}