(0.3x-1.1)(0.3x-1.1)=

Solution for (0.3x-1.1)(0.3x-1.1)= equation:

Simplifying
(0.3x + -1.1)(0.3x + -1.1) = 0

Reorder the terms:
(-1.1 + 0.3x)(0.3x + -1.1) = 0

Reorder the terms:
(-1.1 + 0.3x)(-1.1 + 0.3x) = 0

Multiply (-1.1 + 0.3x) * (-1.1 + 0.3x)
(-1.1(-1.1 + 0.3x) + 0.3x * (-1.1 + 0.3x)) = 0
((-1.1 * -1.1 + 0.3x * -1.1) + 0.3x * (-1.1 + 0.3x)) = 0
((1.21 + -0.33x) + 0.3x * (-1.1 + 0.3x)) = 0
(1.21 + -0.33x + (-1.1 * 0.3x + 0.3x * 0.3x)) = 0
(1.21 + -0.33x + (-0.33x + 0.09x2)) = 0

Combine like terms: -0.33x + -0.33x = -0.66x
(1.21 + -0.66x + 0.09x2) = 0

Solving
1.21 + -0.66x + 0.09x2 = 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'.
13.44444444 + -7.333333333x + x2 = 0

Move the constant term to the right:

Add '-13.44444444' to each side of the equation.
13.44444444 + -7.333333333x + -13.44444444 + x2 = 0 + -13.44444444

Reorder the terms:
13.44444444 + -13.44444444 + -7.333333333x + x2 = 0 + -13.44444444

Combine like terms: 13.44444444 + -13.44444444 = 0.00000000
0.00000000 + -7.333333333x + x2 = 0 + -13.44444444
-7.333333333x + x2 = 0 + -13.44444444

Combine like terms: 0 + -13.44444444 = -13.44444444
-7.333333333x + x2 = -13.44444444

The x term is -7.333333333x.  Take half its coefficient (-3.666666667).
Square it (13.44444445) and add it to both sides.

Add '13.44444445' to each side of the equation.
-7.333333333x + 13.44444445 + x2 = -13.44444444 + 13.44444445

Reorder the terms:
13.44444445 + -7.333333333x + x2 = -13.44444444 + 13.44444445

Combine like terms: -13.44444444 + 13.44444445 = 0.00000001
13.44444445 + -7.333333333x + x2 = 0.00000001

Factor a perfect square on the left side:
(x + -3.666666667)(x + -3.666666667) = 0.00000001

Calculate the square root of the right side: 0.0001

Break this problem into two subproblems by setting 
(x + -3.666666667) equal to 0.0001 and -0.0001.

Subproblem 1
x + -3.666666667 = 0.0001

Simplifying
x + -3.666666667 = 0.0001

Reorder the terms:
-3.666666667 + x = 0.0001

Solving
-3.666666667 + x = 0.0001

Solving for variable 'x'.

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

Add '3.666666667' to each side of the equation.
-3.666666667 + 3.666666667 + x = 0.0001 + 3.666666667

Combine like terms: -3.666666667 + 3.666666667 = 0.000000000
0.000000000 + x = 0.0001 + 3.666666667
x = 0.0001 + 3.666666667

Combine like terms: 0.0001 + 3.666666667 = 3.666766667
x = 3.666766667

Simplifying
x = 3.666766667

Subproblem 2
x + -3.666666667 = -0.0001

Simplifying
x + -3.666666667 = -0.0001

Reorder the terms:
-3.666666667 + x = -0.0001

Solving
-3.666666667 + x = -0.0001

Solving for variable 'x'.

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

Add '3.666666667' to each side of the equation.
-3.666666667 + 3.666666667 + x = -0.0001 + 3.666666667

Combine like terms: -3.666666667 + 3.666666667 = 0.000000000
0.000000000 + x = -0.0001 + 3.666666667
x = -0.0001 + 3.666666667

Combine like terms: -0.0001 + 3.666666667 = 3.666566667
x = 3.666566667

Simplifying
x = 3.666566667

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.666766667, 3.666566667}