-x(2x-5)=4(x+2)

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


Simplifying
-1x(2x + -5) = 4(x + 2)

Reorder the terms:
-1x(-5 + 2x) = 4(x + 2)
(-5 * -1x + 2x * -1x) = 4(x + 2)
(5x + -2x2) = 4(x + 2)

Reorder the terms:
5x + -2x2 = 4(2 + x)
5x + -2x2 = (2 * 4 + x * 4)
5x + -2x2 = (8 + 4x)

Solving
5x + -2x2 = 8 + 4x

Solving for variable 'x'.

Reorder the terms:
-8 + 5x + -4x + -2x2 = 8 + 4x + -8 + -4x

Combine like terms: 5x + -4x = 1x
-8 + 1x + -2x2 = 8 + 4x + -8 + -4x

Reorder the terms:
-8 + 1x + -2x2 = 8 + -8 + 4x + -4x

Combine like terms: 8 + -8 = 0
-8 + 1x + -2x2 = 0 + 4x + -4x
-8 + 1x + -2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + 1x + -2x2 = 0

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

Divide each side by '-2'.
4 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -0.5x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -0.5x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -0.5x + x2 = 0 + -4
-0.5x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-0.5x + x2 = -4

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -4 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -4 + 0.0625

Combine like terms: -4 + 0.0625 = -3.9375
0.0625 + -0.5x + x2 = -3.9375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -3.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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