-0.2x^2-1.8x-16=0

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Solution for -0.2x^2-1.8x-16=0 equation:


Simplifying
-0.2x2 + -1.8x + -16 = 0

Reorder the terms:
-16 + -1.8x + -0.2x2 = 0

Solving
-16 + -1.8x + -0.2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-0.2 the coefficient of the squared term: 

Divide each side by '-0.2'.
80 + 9x + x2 = 0

Move the constant term to the right:

Add '-80' to each side of the equation.
80 + 9x + -80 + x2 = 0 + -80

Reorder the terms:
80 + -80 + 9x + x2 = 0 + -80

Combine like terms: 80 + -80 = 0
0 + 9x + x2 = 0 + -80
9x + x2 = 0 + -80

Combine like terms: 0 + -80 = -80
9x + x2 = -80

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = -80 + 20.25

Reorder the terms:
20.25 + 9x + x2 = -80 + 20.25

Combine like terms: -80 + 20.25 = -59.75
20.25 + 9x + x2 = -59.75

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = -59.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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