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

Solution for 5(2x-1)=2(x+4)x equation:

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

Reorder the terms:
5(-1 + 2x) = 2(x + 4) * x
(-1 * 5 + 2x * 5) = 2(x + 4) * x
(-5 + 10x) = 2(x + 4) * x

Reorder the terms:
-5 + 10x = 2(4 + x) * x

Reorder the terms for easier multiplication:
-5 + 10x = 2x(4 + x)
-5 + 10x = (4 * 2x + x * 2x)
-5 + 10x = (8x + 2x2)

Solving
-5 + 10x = 8x + 2x2

Solving for variable 'x'.

Combine like terms: 10x + -8x = 2x
-5 + 2x + -2x2 = 8x + 2x2 + -8x + -2x2

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

Combine like terms: 8x + -8x = 0
-5 + 2x + -2x2 = 0 + 2x2 + -2x2
-5 + 2x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5 + 2x + -2x2 = 0

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

Divide each side by '-2'.
2.5 + -1x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -1x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -1x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1x + x2 = 0 + -2.5
-1x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-1x + x2 = -2.5

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -2.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -2.5 + 0.25

Combine like terms: -2.5 + 0.25 = -2.25
0.25 + -1x + x2 = -2.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -2.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.