(5x-9)*(2-x)=6+4x

Solution for (5x-9)*(2-x)=6+4x equation:

Simplifying
(5x + -9)(2 + -1x) = 6 + 4x

Reorder the terms:
(-9 + 5x)(2 + -1x) = 6 + 4x

Multiply (-9 + 5x) * (2 + -1x)
(-9(2 + -1x) + 5x * (2 + -1x)) = 6 + 4x
((2 * -9 + -1x * -9) + 5x * (2 + -1x)) = 6 + 4x
((-18 + 9x) + 5x * (2 + -1x)) = 6 + 4x
(-18 + 9x + (2 * 5x + -1x * 5x)) = 6 + 4x
(-18 + 9x + (10x + -5x2)) = 6 + 4x

Combine like terms: 9x + 10x = 19x
(-18 + 19x + -5x2) = 6 + 4x

Solving
-18 + 19x + -5x2 = 6 + 4x

Solving for variable 'x'.

Reorder the terms:
-18 + -6 + 19x + -4x + -5x2 = 6 + 4x + -6 + -4x

Combine like terms: -18 + -6 = -24
-24 + 19x + -4x + -5x2 = 6 + 4x + -6 + -4x

Combine like terms: 19x + -4x = 15x
-24 + 15x + -5x2 = 6 + 4x + -6 + -4x

Reorder the terms:
-24 + 15x + -5x2 = 6 + -6 + 4x + -4x

Combine like terms: 6 + -6 = 0
-24 + 15x + -5x2 = 0 + 4x + -4x
-24 + 15x + -5x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-24 + 15x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
4.8 + -3x + x2 = 0

Move the constant term to the right:

Add '-4.8' to each side of the equation.
4.8 + -3x + -4.8 + x2 = 0 + -4.8

Reorder the terms:
4.8 + -4.8 + -3x + x2 = 0 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + -3x + x2 = 0 + -4.8
-3x + x2 = 0 + -4.8

Combine like terms: 0 + -4.8 = -4.8
-3x + x2 = -4.8

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -4.8 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -4.8 + 2.25

Combine like terms: -4.8 + 2.25 = -2.55
2.25 + -3x + x2 = -2.55

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -2.55

Can't calculate square root of the right side.

The solution to this equation could not be determined.