Question

(x²–2x)(2x - 2)-9 2x-2/x²-2x<=0
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Answer 1

Step-by-step explanation:

STEP

1

:

2x - 2

Simplify ———————

x2 - 2x

STEP

2

:

Pulling out like terms

2.1 Pull out like factors :

2x - 2 = 2 • (x - 1)

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

x2 - 2x = x • (x - 2)

Equation at the end of step

3

:

2•(x-1)

(((x2)-2x)•(2x-2))-(9•———————) = 0

x•(x-2)

STEP

4

:

Equation at the end of step 4

18•(x-1)

(((x2)-2x)•(2x-2))-———————— = 0

x•(x-2)

STEP

5

:

STEP

6

:

Pulling out like terms

6.1 Pull out like factors :

x2 - 2x = x • (x - 2)

STEP

7

:

Pulling out like terms

7.1 Pull out like factors :

(2x - 2) = 2 • (x - 1)

Equation at the end of step

7

:

18 • (x - 1)

2x • (x - 2) • (x - 1) - ———————————— = 0

x • (x - 2)

STEP

8

:

Rewriting the whole as an Equivalent Fraction