Step 1: Factors find karo

Humein aise 2 numbers chahiye jinka:

  • multiplication = 3 2 = 6
  • addition = -5

Wo numbers hain: -2 aur -3


Step 2: Middle term split karo

3x22x3x+2=03x^2 – 2x – 3x + 2 = 03x22x3x+2=0


Step 3: Grouping karo

(3x22x)(3x2)=0(3x^2 – 2x) – (3x – 2) = 0(3x22x)(3x2)=0


Step 4: Common factor nikalo

x(3x2)1(3x2)=0x(3x – 2) -1(3x – 2) = 0x(3x2)1(3x2)=0


Step 5: Factorize

(3x2)(x1)=0(3x – 2)(x – 1) = 0(3x2)(x1)=0


Step 6: Solve karo

Ab har bracket ko zero ke barabar rakho:

  1. 3x2=03x – 2 = 03x2=0 x=23x = frac{2}{3}x=32
  2. x1=0x – 1 = 0x1=0 x=1x = 1x=1

Final Answer:

x=1yax=23x = 1 quad text{ya} quad x = frac{2}{3}x=1yax=32

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