(.3x^2-1)(.3x^2-1)=

Solution for (.3x^2-1)(.3x^2-1)= equation:

Simplifying
(0.3x2 + -1)(0.3x2 + -1) = 0

Reorder the terms:
(-1 + 0.3x2)(0.3x2 + -1) = 0

Reorder the terms:
(-1 + 0.3x2)(-1 + 0.3x2) = 0

Multiply (-1 + 0.3x2) * (-1 + 0.3x2)
(-1(-1 + 0.3x2) + 0.3x2 * (-1 + 0.3x2)) = 0
((-1 * -1 + 0.3x2 * -1) + 0.3x2 * (-1 + 0.3x2)) = 0
((1 + -0.3x2) + 0.3x2 * (-1 + 0.3x2)) = 0
(1 + -0.3x2 + (-1 * 0.3x2 + 0.3x2 * 0.3x2)) = 0
(1 + -0.3x2 + (-0.3x2 + 0.09x4)) = 0

Combine like terms: -0.3x2 + -0.3x2 = -0.6x2
(1 + -0.6x2 + 0.09x4) = 0

Solving
1 + -0.6x2 + 0.09x4 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
0.09 the coefficient of the squared term: 

Divide each side by '0.09'.
11.11111111 + -6.666666667x2 + x4 = 0

Move the constant term to the right:

Add '-11.11111111' to each side of the equation.
11.11111111 + -6.666666667x2 + -11.11111111 + x4 = 0 + -11.11111111

Reorder the terms:
11.11111111 + -11.11111111 + -6.666666667x2 + x4 = 0 + -11.11111111

Combine like terms: 11.11111111 + -11.11111111 = 0.00000000
0.00000000 + -6.666666667x2 + x4 = 0 + -11.11111111
-6.666666667x2 + x4 = 0 + -11.11111111

Combine like terms: 0 + -11.11111111 = -11.11111111
-6.666666667x2 + x4 = -11.11111111

The x term is -6.666666667x2.  Take half its coefficient (-3.333333334).
Square it (11.11111112) and add it to both sides.

Add '11.11111112' to each side of the equation.
-6.666666667x2 + 11.11111112 + x4 = -11.11111111 + 11.11111112

Reorder the terms:
11.11111112 + -6.666666667x2 + x4 = -11.11111111 + 11.11111112

Combine like terms: -11.11111111 + 11.11111112 = 0.00000001
11.11111112 + -6.666666667x2 + x4 = 0.00000001

Factor a perfect square on the left side:
(x2 + -3.333333334)(x2 + -3.333333334) = 0.00000001

Calculate the square root of the right side: 0.0001

Break this problem into two subproblems by setting 
(x2 + -3.333333334) equal to 0.0001 and -0.0001.

Subproblem 1
x2 + -3.333333334 = 0.0001

Simplifying
x2 + -3.333333334 = 0.0001

Reorder the terms:
-3.333333334 + x2 = 0.0001

Solving
-3.333333334 + x2 = 0.0001

Solving for variable 'x'.

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

Add '3.333333334' to each side of the equation.
-3.333333334 + 3.333333334 + x2 = 0.0001 + 3.333333334

Combine like terms: -3.333333334 + 3.333333334 = 0.000000000
0.000000000 + x2 = 0.0001 + 3.333333334
x2 = 0.0001 + 3.333333334

Combine like terms: 0.0001 + 3.333333334 = 3.333433334
x2 = 3.333433334

Simplifying
x2 = 3.333433334

Take the square root of each side:
x = {-1.825769244, 1.825769244}

Subproblem 2
x2 + -3.333333334 = -0.0001

Simplifying
x2 + -3.333333334 = -0.0001

Reorder the terms:
-3.333333334 + x2 = -0.0001

Solving
-3.333333334 + x2 = -0.0001

Solving for variable 'x'.

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

Add '3.333333334' to each side of the equation.
-3.333333334 + 3.333333334 + x2 = -0.0001 + 3.333333334

Combine like terms: -3.333333334 + 3.333333334 = 0.000000000
0.000000000 + x2 = -0.0001 + 3.333333334
x2 = -0.0001 + 3.333333334

Combine like terms: -0.0001 + 3.333333334 = 3.333233334
x2 = 3.333233334

Simplifying
x2 = 3.333233334

Take the square root of each side:
x = {-1.825714472, 1.825714472}

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.825769244, 1.825769244, -1.825714472, 1.825714472}