=1.44-(6.62x)+(2.7x^2)

Solution for =1.44-(6.62x)+(2.7x^2) equation:

Simplifying
0 = 1.44 + -1(6.62x) + (2.7x2)

Remove parenthesis around (6.62x)
0 = 1.44 + -1 * 6.62x + (2.7x2)

Multiply -1 * 6.62
0 = 1.44 + -6.62x + (2.7x2)

Solving
0 = 1.44 + -6.62x + (2.7x2)

Solving for variable 'x'.

Combine like terms: 0 + -1.44 = -1.44
-1.44 + 6.62x + (-2.7x2) = 1.44 + -6.62x + (2.7x2) + -1.44 + 6.62x + (-2.7x2)

Reorder the terms:
-1.44 + 6.62x + (-2.7x2) = 1.44 + -1.44 + -6.62x + 6.62x + (2.7x2) + (-2.7x2)

Combine like terms: 1.44 + -1.44 = 0.00
-1.44 + 6.62x + (-2.7x2) = 0.00 + -6.62x + 6.62x + (2.7x2) + (-2.7x2)
-1.44 + 6.62x + (-2.7x2) = -6.62x + 6.62x + (2.7x2) + (-2.7x2)

Combine like terms: -6.62x + 6.62x = 0.00
-1.44 + 6.62x + (-2.7x2) = 0.00 + (2.7x2) + (-2.7x2)
-1.44 + 6.62x + (-2.7x2) = (2.7x2) + (-2.7x2)

Combine like terms: (2.7x2) + (-2.7x2) = 0.0
-1.44 + 6.62x + (-2.7x2) = 0.0

Begin completing the square.  Divide all terms by
-2.7 the coefficient of the squared term: 

Divide each side by '-2.7'.
0.5333333333 + -2.451851852x + x2 = 0

Move the constant term to the right:

Add '-0.5333333333' to each side of the equation.
0.5333333333 + -2.451851852x + -0.5333333333 + x2 = 0 + -0.5333333333

Reorder the terms:
0.5333333333 + -0.5333333333 + -2.451851852x + x2 = 0 + -0.5333333333

Combine like terms: 0.5333333333 + -0.5333333333 = 0.0000000000
0.0000000000 + -2.451851852x + x2 = 0 + -0.5333333333
-2.451851852x + x2 = 0 + -0.5333333333

Combine like terms: 0 + -0.5333333333 = -0.5333333333
-2.451851852x + x2 = -0.5333333333

The x term is -2.451851852x.  Take half its coefficient (-1.225925926).
Square it (1.502894376) and add it to both sides.

Add '1.502894376' to each side of the equation.
-2.451851852x + 1.502894376 + x2 = -0.5333333333 + 1.502894376

Reorder the terms:
1.502894376 + -2.451851852x + x2 = -0.5333333333 + 1.502894376

Combine like terms: -0.5333333333 + 1.502894376 = 0.9695610427
1.502894376 + -2.451851852x + x2 = 0.9695610427

Factor a perfect square on the left side:
((x) + -1.225925926)((x) + -1.225925926) = 0.9695610427

Calculate the square root of the right side: 0.984662908

Break this problem into two subproblems by setting 
((x) + -1.225925926) equal to 0.984662908 and -0.984662908.

Subproblem 1
(x) + -1.225925926 = 0.984662908

Simplifying
(x) + -1.225925926 = 0.984662908
x + -1.225925926 = 0.984662908

Reorder the terms:
-1.225925926 + x = 0.984662908

Solving
-1.225925926 + x = 0.984662908

Solving for variable 'x'.

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

Add '1.225925926' to each side of the equation.
-1.225925926 + 1.225925926 + x = 0.984662908 + 1.225925926

Combine like terms: -1.225925926 + 1.225925926 = 0.000000000
0.000000000 + x = 0.984662908 + 1.225925926
x = 0.984662908 + 1.225925926

Combine like terms: 0.984662908 + 1.225925926 = 2.210588834
x = 2.210588834

Simplifying
x = 2.210588834

Subproblem 2
(x) + -1.225925926 = -0.984662908

Simplifying
(x) + -1.225925926 = -0.984662908
x + -1.225925926 = -0.984662908

Reorder the terms:
-1.225925926 + x = -0.984662908

Solving
-1.225925926 + x = -0.984662908

Solving for variable 'x'.

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

Add '1.225925926' to each side of the equation.
-1.225925926 + 1.225925926 + x = -0.984662908 + 1.225925926

Combine like terms: -1.225925926 + 1.225925926 = 0.000000000
0.000000000 + x = -0.984662908 + 1.225925926
x = -0.984662908 + 1.225925926

Combine like terms: -0.984662908 + 1.225925926 = 0.241263018
x = 0.241263018

Simplifying
x = 0.241263018

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.210588834, 0.241263018}