(x-3)(x-2)=(x+4)(2-x)-14

Solution for (x-3)(x-2)=(x+4)(2-x)-14 equation:

Simplifying
(x + -3)(x + -2) = (x + 4)(2 + -1x) + -14

Reorder the terms:
(-3 + x)(x + -2) = (x + 4)(2 + -1x) + -14

Reorder the terms:
(-3 + x)(-2 + x) = (x + 4)(2 + -1x) + -14

Multiply (-3 + x) * (-2 + x)
(-3(-2 + x) + x(-2 + x)) = (x + 4)(2 + -1x) + -14
((-2 * -3 + x * -3) + x(-2 + x)) = (x + 4)(2 + -1x) + -14
((6 + -3x) + x(-2 + x)) = (x + 4)(2 + -1x) + -14
(6 + -3x + (-2 * x + x * x)) = (x + 4)(2 + -1x) + -14
(6 + -3x + (-2x + x2)) = (x + 4)(2 + -1x) + -14

Combine like terms: -3x + -2x = -5x
(6 + -5x + x2) = (x + 4)(2 + -1x) + -14

Reorder the terms:
6 + -5x + x2 = (4 + x)(2 + -1x) + -14

Multiply (4 + x) * (2 + -1x)
6 + -5x + x2 = (4(2 + -1x) + x(2 + -1x)) + -14
6 + -5x + x2 = ((2 * 4 + -1x * 4) + x(2 + -1x)) + -14
6 + -5x + x2 = ((8 + -4x) + x(2 + -1x)) + -14
6 + -5x + x2 = (8 + -4x + (2 * x + -1x * x)) + -14
6 + -5x + x2 = (8 + -4x + (2x + -1x2)) + -14

Combine like terms: -4x + 2x = -2x
6 + -5x + x2 = (8 + -2x + -1x2) + -14

Reorder the terms:
6 + -5x + x2 = 8 + -14 + -2x + -1x2

Combine like terms: 8 + -14 = -6
6 + -5x + x2 = -6 + -2x + -1x2

Solving
6 + -5x + x2 = -6 + -2x + -1x2

Solving for variable 'x'.

Reorder the terms:
6 + 6 + -5x + 2x + x2 + x2 = -6 + -2x + -1x2 + 6 + 2x + x2

Combine like terms: 6 + 6 = 12
12 + -5x + 2x + x2 + x2 = -6 + -2x + -1x2 + 6 + 2x + x2

Combine like terms: -5x + 2x = -3x
12 + -3x + x2 + x2 = -6 + -2x + -1x2 + 6 + 2x + x2

Combine like terms: x2 + x2 = 2x2
12 + -3x + 2x2 = -6 + -2x + -1x2 + 6 + 2x + x2

Reorder the terms:
12 + -3x + 2x2 = -6 + 6 + -2x + 2x + -1x2 + x2

Combine like terms: -6 + 6 = 0
12 + -3x + 2x2 = 0 + -2x + 2x + -1x2 + x2
12 + -3x + 2x2 = -2x + 2x + -1x2 + x2

Combine like terms: -2x + 2x = 0
12 + -3x + 2x2 = 0 + -1x2 + x2
12 + -3x + 2x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
12 + -3x + 2x2 = 0

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

Divide each side by '2'.
6 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -1.5x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -1.5x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1.5x + x2 = 0 + -6
-1.5x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1.5x + x2 = -6

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -6 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -6 + 0.5625

Combine like terms: -6 + 0.5625 = -5.4375
0.5625 + -1.5x + x2 = -5.4375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -5.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.