-1x(2x+3)=2(-4x+3)

Solution for -1x(2x+3)=2(-4x+3) equation:

Simplifying
-1x(2x + 3) = 2(-4x + 3)

Reorder the terms:
-1x(3 + 2x) = 2(-4x + 3)
(3 * -1x + 2x * -1x) = 2(-4x + 3)
(-3x + -2x2) = 2(-4x + 3)

Reorder the terms:
-3x + -2x2 = 2(3 + -4x)
-3x + -2x2 = (3 * 2 + -4x * 2)
-3x + -2x2 = (6 + -8x)

Solving
-3x + -2x2 = 6 + -8x

Solving for variable 'x'.

Reorder the terms:
-6 + -3x + 8x + -2x2 = 6 + -8x + -6 + 8x

Combine like terms: -3x + 8x = 5x
-6 + 5x + -2x2 = 6 + -8x + -6 + 8x

Reorder the terms:
-6 + 5x + -2x2 = 6 + -6 + -8x + 8x

Combine like terms: 6 + -6 = 0
-6 + 5x + -2x2 = 0 + -8x + 8x
-6 + 5x + -2x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
-6 + 5x + -2x2 = 0

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

Divide each side by '-2'.
3 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2.5x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -2.5x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2.5x + x2 = 0 + -3
-2.5x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2.5x + x2 = -3

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -3 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -3 + 1.5625

Combine like terms: -3 + 1.5625 = -1.4375
1.5625 + -2.5x + x2 = -1.4375

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -1.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.