4x-8-2x-2=(x+1)(x-2)

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Solution for 4x-8-2x-2=(x+1)(x-2) equation: 


Simplifying
4x + -8 + -2x + -2 = (x + 1)(x + -2)

Reorder the terms:
-8 + -2 + 4x + -2x = (x + 1)(x + -2)

Combine like terms: -8 + -2 = -10
-10 + 4x + -2x = (x + 1)(x + -2)

Combine like terms: 4x + -2x = 2x
-10 + 2x = (x + 1)(x + -2)

Reorder the terms:
-10 + 2x = (1 + x)(x + -2)

Reorder the terms:
-10 + 2x = (1 + x)(-2 + x)

Multiply (1 + x) * (-2 + x)
-10 + 2x = (1(-2 + x) + x(-2 + x))
-10 + 2x = ((-2 * 1 + x * 1) + x(-2 + x))
-10 + 2x = ((-2 + 1x) + x(-2 + x))
-10 + 2x = (-2 + 1x + (-2 * x + x * x))
-10 + 2x = (-2 + 1x + (-2x + x2))

Combine like terms: 1x + -2x = -1x
-10 + 2x = (-2 + -1x + x2)

Solving
-10 + 2x = -2 + -1x + x2

Solving for variable 'x'.

Reorder the terms:
-10 + 2 + 2x + x + -1x2 = -2 + -1x + x2 + 2 + x + -1x2

Combine like terms: -10 + 2 = -8
-8 + 2x + x + -1x2 = -2 + -1x + x2 + 2 + x + -1x2

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

Reorder the terms:
-8 + 3x + -1x2 = -2 + 2 + -1x + x + x2 + -1x2

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

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

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

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
8 + -3x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -3x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -3x + x2 = 0 + -8

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

Combine like terms: 0 + -8 = -8
-3x + x2 = -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 = -8 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -8 + 2.25

Combine like terms: -8 + 2.25 = -5.75
2.25 + -3x + x2 = -5.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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