(1.25a^2-2)(1.25a^2+2)=

Solution for (1.25a^2-2)(1.25a^2+2)= equation:

Simplifying
(1.25a2 + -2)(1.25a2 + 2) = 0

Reorder the terms:
(-2 + 1.25a2)(1.25a2 + 2) = 0

Reorder the terms:
(-2 + 1.25a2)(2 + 1.25a2) = 0

Multiply (-2 + 1.25a2) * (2 + 1.25a2)
(-2(2 + 1.25a2) + 1.25a2 * (2 + 1.25a2)) = 0
((2 * -2 + 1.25a2 * -2) + 1.25a2 * (2 + 1.25a2)) = 0
((-4 + -2.5a2) + 1.25a2 * (2 + 1.25a2)) = 0
(-4 + -2.5a2 + (2 * 1.25a2 + 1.25a2 * 1.25a2)) = 0
(-4 + -2.5a2 + (2.5a2 + 1.5625a4)) = 0

Combine like terms: -2.5a2 + 2.5a2 = 0.0
(-4 + 0.0 + 1.5625a4) = 0
(-4 + 1.5625a4) = 0

Solving
-4 + 1.5625a4 = 0

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 4 + 1.5625a4 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 1.5625a4 = 0 + 4
1.5625a4 = 0 + 4

Combine like terms: 0 + 4 = 4
1.5625a4 = 4

Divide each side by '1.5625'.
a4 = 2.56

Simplifying
a4 = 2.56

Reorder the terms:
-2.56 + a4 = 2.56 + -2.56

Combine like terms: 2.56 + -2.56 = 0.00
-2.56 + a4 = 0.00

Factor a difference between two squares.
(1.6 + a2)(-1.6 + a2) = 0.00

Subproblem 1
Set the factor '(1.6 + a2)' equal to zero and attempt to solve:

Simplifying
1.6 + a2 = 0

Solving
1.6 + a2 = 0

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

Add '-1.6' to each side of the equation.
1.6 + -1.6 + a2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + a2 = 0 + -1.6
a2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
a2 = -1.6

Simplifying
a2 = -1.6

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 '(-1.6 + a2)' equal to zero and attempt to solve:

Simplifying
-1.6 + a2 = 0

Solving
-1.6 + a2 = 0

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

Add '1.6' to each side of the equation.
-1.6 + 1.6 + a2 = 0 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + a2 = 0 + 1.6
a2 = 0 + 1.6

Combine like terms: 0 + 1.6 = 1.6
a2 = 1.6

Simplifying
a2 = 1.6

Take the square root of each side:
a = {-1.264911064, 1.264911064}
Solution
a = {-1.264911064, 1.264911064}