.5X-5=4X+2X(X-4)

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Solution for .5X-5=4X+2X(X-4) equation: 


Simplifying
0.5X + -5 = 4X + 2X(X + -4)

Reorder the terms:
-5 + 0.5X = 4X + 2X(X + -4)

Reorder the terms:
-5 + 0.5X = 4X + 2X(-4 + X)
-5 + 0.5X = 4X + (-4 * 2X + X * 2X)
-5 + 0.5X = 4X + (-8X + 2X2)

Combine like terms: 4X + -8X = -4X
-5 + 0.5X = -4X + 2X2

Solving
-5 + 0.5X = -4X + 2X2

Solving for variable 'X'.

Combine like terms: 0.5X + 4X = 4.5X
-5 + 4.5X + -2X2 = -4X + 2X2 + 4X + -2X2

Reorder the terms:
-5 + 4.5X + -2X2 = -4X + 4X + 2X2 + -2X2

Combine like terms: -4X + 4X = 0
-5 + 4.5X + -2X2 = 0 + 2X2 + -2X2
-5 + 4.5X + -2X2 = 2X2 + -2X2

Combine like terms: 2X2 + -2X2 = 0
-5 + 4.5X + -2X2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
2.5 + -2.25X + X2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -2.25X + -2.5 + X2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -2.25X + X2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -2.25X + X2 = 0 + -2.5
-2.25X + X2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-2.25X + X2 = -2.5

The X term is -2.25X.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25X + 1.265625 + X2 = -2.5 + 1.265625

Reorder the terms:
1.265625 + -2.25X + X2 = -2.5 + 1.265625

Combine like terms: -2.5 + 1.265625 = -1.234375
1.265625 + -2.25X + X2 = -1.234375

Factor a perfect square on the left side:
(X + -1.125)(X + -1.125) = -1.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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