4-5(3-x)=-x(3-2x)

Solution for 4-5(3-x)=-x(3-2x) equation:

Simplifying
4 + -5(3 + -1x) = -1x(3 + -2x)
4 + (3 * -5 + -1x * -5) = -1x(3 + -2x)
4 + (-15 + 5x) = -1x(3 + -2x)

Combine like terms: 4 + -15 = -11
-11 + 5x = -1x(3 + -2x)
-11 + 5x = (3 * -1x + -2x * -1x)
-11 + 5x = (-3x + 2x2)

Solving
-11 + 5x = -3x + 2x2

Solving for variable 'x'.

Combine like terms: 5x + 3x = 8x
-11 + 8x + -2x2 = -3x + 2x2 + 3x + -2x2

Reorder the terms:
-11 + 8x + -2x2 = -3x + 3x + 2x2 + -2x2

Combine like terms: -3x + 3x = 0
-11 + 8x + -2x2 = 0 + 2x2 + -2x2
-11 + 8x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-11 + 8x + -2x2 = 0

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

Divide each side by '-2'.
5.5 + -4x + x2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + -4x + -5.5 + x2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + -4x + x2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -4x + x2 = 0 + -5.5
-4x + x2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
-4x + x2 = -5.5

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -5.5 + 4

Reorder the terms:
4 + -4x + x2 = -5.5 + 4

Combine like terms: -5.5 + 4 = -1.5
4 + -4x + x2 = -1.5

Factor a perfect square on the left side:
(x + -2)(x + -2) = -1.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.