(x-2)(2x-4)-(x+1)(x-6)=

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Solution for (x-2)(2x-4)-(x+1)(x-6)= equation: 


Simplifying
(x + -2)(2x + -4) + -1(x + 1)(x + -6) = 0

Reorder the terms:
(-2 + x)(2x + -4) + -1(x + 1)(x + -6) = 0

Reorder the terms:
(-2 + x)(-4 + 2x) + -1(x + 1)(x + -6) = 0

Multiply (-2 + x) * (-4 + 2x)
(-2(-4 + 2x) + x(-4 + 2x)) + -1(x + 1)(x + -6) = 0
((-4 * -2 + 2x * -2) + x(-4 + 2x)) + -1(x + 1)(x + -6) = 0
((8 + -4x) + x(-4 + 2x)) + -1(x + 1)(x + -6) = 0
(8 + -4x + (-4 * x + 2x * x)) + -1(x + 1)(x + -6) = 0
(8 + -4x + (-4x + 2x2)) + -1(x + 1)(x + -6) = 0

Combine like terms: -4x + -4x = -8x
(8 + -8x + 2x2) + -1(x + 1)(x + -6) = 0

Reorder the terms:
8 + -8x + 2x2 + -1(1 + x)(x + -6) = 0

Reorder the terms:
8 + -8x + 2x2 + -1(1 + x)(-6 + x) = 0

Multiply (1 + x) * (-6 + x)
8 + -8x + 2x2 + -1(1(-6 + x) + x(-6 + x)) = 0
8 + -8x + 2x2 + -1((-6 * 1 + x * 1) + x(-6 + x)) = 0
8 + -8x + 2x2 + -1((-6 + 1x) + x(-6 + x)) = 0
8 + -8x + 2x2 + -1(-6 + 1x + (-6 * x + x * x)) = 0
8 + -8x + 2x2 + -1(-6 + 1x + (-6x + x2)) = 0

Combine like terms: 1x + -6x = -5x
8 + -8x + 2x2 + -1(-6 + -5x + x2) = 0
8 + -8x + 2x2 + (-6 * -1 + -5x * -1 + x2 * -1) = 0
8 + -8x + 2x2 + (6 + 5x + -1x2) = 0

Reorder the terms:
8 + 6 + -8x + 5x + 2x2 + -1x2 = 0

Combine like terms: 8 + 6 = 14
14 + -8x + 5x + 2x2 + -1x2 = 0

Combine like terms: -8x + 5x = -3x
14 + -3x + 2x2 + -1x2 = 0

Combine like terms: 2x2 + -1x2 = 1x2
14 + -3x + 1x2 = 0

Solving
14 + -3x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -3x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + -3x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -3x + x2 = 0 + -14
-3x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
-3x + x2 = -14

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 = -14 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -14 + 2.25

Combine like terms: -14 + 2.25 = -11.75
2.25 + -3x + x2 = -11.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -11.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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