=(.3x^2)-1.1x-2(-.4x^2)+.5x+8.3

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Solution for =(.3x^2)-1.1x-2(-.4x^2)+.5x+8.3 equation: 


Simplifying
0 = (0.3x2) + -1.1x + -2(-0.4x2) + 0.5x + 8.3

Remove parenthesis around (-0.4x2)
0 = (0.3x2) + -1.1x + -2 * -0.4x2 + 0.5x + 8.3

Multiply -2 * -0.4
0 = (0.3x2) + -1.1x + 0.8x2 + 0.5x + 8.3

Reorder the terms:
0 = 8.3 + -1.1x + 0.5x + (0.3x2) + 0.8x2

Combine like terms: -1.1x + 0.5x = -0.6x
0 = 8.3 + -0.6x + (0.3x2) + 0.8x2

Combine like terms: (0.3x2) + 0.8x2 = 1.1x2
0 = 8.3 + -0.6x + 1.1x2

Solving
0 = 8.3 + -0.6x + 1.1x2

Solving for variable 'x'.

Combine like terms: 0 + -8.3 = -8.3
-8.3 + 0.6x + -1.1x2 = 8.3 + -0.6x + 1.1x2 + -8.3 + 0.6x + -1.1x2

Reorder the terms:
-8.3 + 0.6x + -1.1x2 = 8.3 + -8.3 + -0.6x + 0.6x + 1.1x2 + -1.1x2

Combine like terms: 8.3 + -8.3 = 0.0
-8.3 + 0.6x + -1.1x2 = 0.0 + -0.6x + 0.6x + 1.1x2 + -1.1x2
-8.3 + 0.6x + -1.1x2 = -0.6x + 0.6x + 1.1x2 + -1.1x2

Combine like terms: -0.6x + 0.6x = 0.0
-8.3 + 0.6x + -1.1x2 = 0.0 + 1.1x2 + -1.1x2
-8.3 + 0.6x + -1.1x2 = 1.1x2 + -1.1x2

Combine like terms: 1.1x2 + -1.1x2 = 0.0
-8.3 + 0.6x + -1.1x2 = 0.0

Begin completing the square.  Divide all terms by
-1.1 the coefficient of the squared term: 

Divide each side by '-1.1'.
7.545454545 + -0.5454545455x + x2 = 0

Move the constant term to the right:

Add '-7.545454545' to each side of the equation.
7.545454545 + -0.5454545455x + -7.545454545 + x2 = 0 + -7.545454545

Reorder the terms:
7.545454545 + -7.545454545 + -0.5454545455x + x2 = 0 + -7.545454545

Combine like terms: 7.545454545 + -7.545454545 = 0.000000000
0.000000000 + -0.5454545455x + x2 = 0 + -7.545454545
-0.5454545455x + x2 = 0 + -7.545454545

Combine like terms: 0 + -7.545454545 = -7.545454545
-0.5454545455x + x2 = -7.545454545

The x term is -0.5454545455x.  Take half its coefficient (-0.2727272728).
Square it (0.07438016533) and add it to both sides.

Add '0.07438016533' to each side of the equation.
-0.5454545455x + 0.07438016533 + x2 = -7.545454545 + 0.07438016533

Reorder the terms:
0.07438016533 + -0.5454545455x + x2 = -7.545454545 + 0.07438016533

Combine like terms: -7.545454545 + 0.07438016533 = -7.47107437967
0.07438016533 + -0.5454545455x + x2 = -7.47107437967

Factor a perfect square on the left side:
(x + -0.2727272728)(x + -0.2727272728) = -7.47107437967

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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