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

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

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

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

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

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

Solving for variable 'x'.

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

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

Reorder the terms:
5 + -1x + 2x2 = -5 + 5 + 5x + -5x

Combine like terms: -5 + 5 = 0
5 + -1x + 2x2 = 0 + 5x + -5x
5 + -1x + 2x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -1x + 2x2 = 0

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

Divide each side by '2'.
2.5 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -0.5x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -0.5x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -0.5x + x2 = 0 + -2.5
-0.5x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-0.5x + x2 = -2.5

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 = -2.5 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -2.5 + 0.0625

Combine like terms: -2.5 + 0.0625 = -2.4375
0.0625 + -0.5x + x2 = -2.4375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -2.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.