(0.3+2x)(0.3+2x)=3.27

Solution for (0.3+2x)(0.3+2x)=3.27 equation:

Simplifying
(0.3 + 2x)(0.3 + 2x) = 3.27

Multiply (0.3 + 2x) * (0.3 + 2x)
(0.3(0.3 + 2x) + 2x * (0.3 + 2x)) = 3.27
((0.3 * 0.3 + 2x * 0.3) + 2x * (0.3 + 2x)) = 3.27
((0.09 + 0.6x) + 2x * (0.3 + 2x)) = 3.27
(0.09 + 0.6x + (0.3 * 2x + 2x * 2x)) = 3.27
(0.09 + 0.6x + (0.6x + 4x2)) = 3.27

Combine like terms: 0.6x + 0.6x = 1.2x
(0.09 + 1.2x + 4x2) = 3.27

Solving
0.09 + 1.2x + 4x2 = 3.27

Solving for variable 'x'.

Reorder the terms:
0.09 + -3.27 + 1.2x + 4x2 = 3.27 + -3.27

Combine like terms: 0.09 + -3.27 = -3.18
-3.18 + 1.2x + 4x2 = 3.27 + -3.27

Combine like terms: 3.27 + -3.27 = 0.00
-3.18 + 1.2x + 4x2 = 0.00

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

Divide each side by '4'.
-0.795 + 0.3x + x2 = 0.00

Move the constant term to the right:

Add '0.795' to each side of the equation.
-0.795 + 0.3x + 0.795 + x2 = 0.00 + 0.795

Reorder the terms:
-0.795 + 0.795 + 0.3x + x2 = 0.00 + 0.795

Combine like terms: -0.795 + 0.795 = 0.000
0.000 + 0.3x + x2 = 0.00 + 0.795
0.3x + x2 = 0.00 + 0.795

Combine like terms: 0.00 + 0.795 = 0.795
0.3x + x2 = 0.795

The x term is 0.3x.  Take half its coefficient (0.15).
Square it (0.0225) and add it to both sides.

Add '0.0225' to each side of the equation.
0.3x + 0.0225 + x2 = 0.795 + 0.0225

Reorder the terms:
0.0225 + 0.3x + x2 = 0.795 + 0.0225

Combine like terms: 0.795 + 0.0225 = 0.8175
0.0225 + 0.3x + x2 = 0.8175

Factor a perfect square on the left side:
(x + 0.15)(x + 0.15) = 0.8175

Calculate the square root of the right side: 0.904157066

Break this problem into two subproblems by setting 
(x + 0.15) equal to 0.904157066 and -0.904157066.

Subproblem 1
x + 0.15 = 0.904157066

Simplifying
x + 0.15 = 0.904157066

Reorder the terms:
0.15 + x = 0.904157066

Solving
0.15 + x = 0.904157066

Solving for variable 'x'.

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

Add '-0.15' to each side of the equation.
0.15 + -0.15 + x = 0.904157066 + -0.15

Combine like terms: 0.15 + -0.15 = 0.00
0.00 + x = 0.904157066 + -0.15
x = 0.904157066 + -0.15

Combine like terms: 0.904157066 + -0.15 = 0.754157066
x = 0.754157066

Simplifying
x = 0.754157066

Subproblem 2
x + 0.15 = -0.904157066

Simplifying
x + 0.15 = -0.904157066

Reorder the terms:
0.15 + x = -0.904157066

Solving
0.15 + x = -0.904157066

Solving for variable 'x'.

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

Add '-0.15' to each side of the equation.
0.15 + -0.15 + x = -0.904157066 + -0.15

Combine like terms: 0.15 + -0.15 = 0.00
0.00 + x = -0.904157066 + -0.15
x = -0.904157066 + -0.15

Combine like terms: -0.904157066 + -0.15 = -1.054157066
x = -1.054157066

Simplifying
x = -1.054157066

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.754157066, -1.054157066}