Find all the possible of x for which of the below is true:
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x = , x = 1

Step-by-step explanation:

Given

+ = ← denominator is a difference of squares

+ =

Multiply through by (x + 3)(x - 3) to clear the fractions

2x(x - 3) + 3(x + 3) = 8 ← distribute left side and simplify

2x² - 6x + 3x + 9 = 8

2x² - 3x + 9 = 8 ( subtract 8 from both sides )

2x² - 3x + 1 = 0 ← in standard form

(2x - 1)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

2x - 1 = 0 ⇒ 2x = 1 ⇒ x =

x - 1 = 0 ⇒ x = 1

3/6   and 9/18

step-by-step explanation: