3.6x^2-8x=-16

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Solution for 3.6x^2-8x=-16 equation:


Simplifying
3.6x2 + -8x = -16

Reorder the terms:
-8x + 3.6x2 = -16

Solving
-8x + 3.6x2 = -16

Solving for variable 'x'.

Reorder the terms:
16 + -8x + 3.6x2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + -8x + 3.6x2 = 0

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

Divide each side by '3.6'.
4.444444444 + -2.222222222x + x2 = 0

Move the constant term to the right:

Add '-4.444444444' to each side of the equation.
4.444444444 + -2.222222222x + -4.444444444 + x2 = 0 + -4.444444444

Reorder the terms:
4.444444444 + -4.444444444 + -2.222222222x + x2 = 0 + -4.444444444

Combine like terms: 4.444444444 + -4.444444444 = 0.000000000
0.000000000 + -2.222222222x + x2 = 0 + -4.444444444
-2.222222222x + x2 = 0 + -4.444444444

Combine like terms: 0 + -4.444444444 = -4.444444444
-2.222222222x + x2 = -4.444444444

The x term is -2.222222222x.  Take half its coefficient (-1.111111111).
Square it (1.234567901) and add it to both sides.

Add '1.234567901' to each side of the equation.
-2.222222222x + 1.234567901 + x2 = -4.444444444 + 1.234567901

Reorder the terms:
1.234567901 + -2.222222222x + x2 = -4.444444444 + 1.234567901

Combine like terms: -4.444444444 + 1.234567901 = -3.209876543
1.234567901 + -2.222222222x + x2 = -3.209876543

Factor a perfect square on the left side:
(x + -1.111111111)(x + -1.111111111) = -3.209876543

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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