0.1x-0.5x(x+4)=2

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Solution for 0.1x-0.5x(x+4)=2 equation:


Simplifying
0.1x + -0.5x(x + 4) = 2

Reorder the terms:
0.1x + -0.5x(4 + x) = 2
0.1x + (4 * -0.5x + x * -0.5x) = 2
0.1x + (-2x + -0.5x2) = 2

Combine like terms: 0.1x + -2x = -1.9x
-1.9x + -0.5x2 = 2

Solving
-1.9x + -0.5x2 = 2

Solving for variable 'x'.

Reorder the terms:
-2 + -1.9x + -0.5x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -1.9x + -0.5x2 = 0

Begin completing the square.  Divide all terms by
-0.5 the coefficient of the squared term: 

Divide each side by '-0.5'.
4 + 3.8x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 3.8x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 3.8x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3.8x + x2 = 0 + -4
3.8x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
3.8x + x2 = -4

The x term is 3.8x.  Take half its coefficient (1.9).
Square it (3.61) and add it to both sides.

Add '3.61' to each side of the equation.
3.8x + 3.61 + x2 = -4 + 3.61

Reorder the terms:
3.61 + 3.8x + x2 = -4 + 3.61

Combine like terms: -4 + 3.61 = -0.39
3.61 + 3.8x + x2 = -0.39

Factor a perfect square on the left side:
(x + 1.9)(x + 1.9) = -0.39

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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