2x(x-2)=-3(x+2)

Solution for 2x(x-2)=-3(x+2) equation:

Simplifying
2x(x + -2) = -3(x + 2)

Reorder the terms:
2x(-2 + x) = -3(x + 2)
(-2 * 2x + x * 2x) = -3(x + 2)
(-4x + 2x2) = -3(x + 2)

Reorder the terms:
-4x + 2x2 = -3(2 + x)
-4x + 2x2 = (2 * -3 + x * -3)
-4x + 2x2 = (-6 + -3x)

Solving
-4x + 2x2 = -6 + -3x

Solving for variable 'x'.

Reorder the terms:
6 + -4x + 3x + 2x2 = -6 + -3x + 6 + 3x

Combine like terms: -4x + 3x = -1x
6 + -1x + 2x2 = -6 + -3x + 6 + 3x

Reorder the terms:
6 + -1x + 2x2 = -6 + 6 + -3x + 3x

Combine like terms: -6 + 6 = 0
6 + -1x + 2x2 = 0 + -3x + 3x
6 + -1x + 2x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
6 + -1x + 2x2 = 0

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

Divide each side by '2'.
3 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -0.5x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -0.5x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -0.5x + x2 = 0 + -3
-0.5x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-0.5x + x2 = -3

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 = -3 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -3 + 0.0625

Combine like terms: -3 + 0.0625 = -2.9375
0.0625 + -0.5x + x2 = -2.9375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.