(2a^2-0.3)(2a^2+0.3)=

Solution for (2a^2-0.3)(2a^2+0.3)= equation:

Simplifying
(2a2 + -0.3)(2a2 + 0.3) = 0

Reorder the terms:
(-0.3 + 2a2)(2a2 + 0.3) = 0

Reorder the terms:
(-0.3 + 2a2)(0.3 + 2a2) = 0

Multiply (-0.3 + 2a2) * (0.3 + 2a2)
(-0.3(0.3 + 2a2) + 2a2 * (0.3 + 2a2)) = 0
((0.3 * -0.3 + 2a2 * -0.3) + 2a2 * (0.3 + 2a2)) = 0
((-0.09 + -0.6a2) + 2a2 * (0.3 + 2a2)) = 0
(-0.09 + -0.6a2 + (0.3 * 2a2 + 2a2 * 2a2)) = 0
(-0.09 + -0.6a2 + (0.6a2 + 4a4)) = 0

Combine like terms: -0.6a2 + 0.6a2 = 0.0
(-0.09 + 0.0 + 4a4) = 0
(-0.09 + 4a4) = 0

Solving
-0.09 + 4a4 = 0

Solving for variable 'a'.

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

Add '0.09' to each side of the equation.
-0.09 + 0.09 + 4a4 = 0 + 0.09

Combine like terms: -0.09 + 0.09 = 0.00
0.00 + 4a4 = 0 + 0.09
4a4 = 0 + 0.09

Combine like terms: 0 + 0.09 = 0.09
4a4 = 0.09

Divide each side by '4'.
a4 = 0.0225

Simplifying
a4 = 0.0225

Reorder the terms:
-0.0225 + a4 = 0.0225 + -0.0225

Combine like terms: 0.0225 + -0.0225 = 0.0000
-0.0225 + a4 = 0.0000

Factor a difference between two squares.
(0.15 + a2)(-0.15 + a2) = 0.0000

Subproblem 1
Set the factor '(0.15 + a2)' equal to zero and attempt to solve:

Simplifying
0.15 + a2 = 0

Solving
0.15 + a2 = 0

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

Add '-0.15' to each side of the equation.
0.15 + -0.15 + a2 = 0 + -0.15

Combine like terms: 0.15 + -0.15 = 0.00
0.00 + a2 = 0 + -0.15
a2 = 0 + -0.15

Combine like terms: 0 + -0.15 = -0.15
a2 = -0.15

Simplifying
a2 = -0.15

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 '(-0.15 + a2)' equal to zero and attempt to solve:

Simplifying
-0.15 + a2 = 0

Solving
-0.15 + a2 = 0

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

Add '0.15' to each side of the equation.
-0.15 + 0.15 + a2 = 0 + 0.15

Combine like terms: -0.15 + 0.15 = 0.00
0.00 + a2 = 0 + 0.15
a2 = 0 + 0.15

Combine like terms: 0 + 0.15 = 0.15
a2 = 0.15

Simplifying
a2 = 0.15

Take the square root of each side:
a = {-0.387298335, 0.387298335}
Solution
a = {-0.387298335, 0.387298335}