**Q) Solve the following quadratic equation by factorization method. **

**Ans:**

Let’s find out the hidden quadratic equation:

∴

∴

∴ X (3 X – 5) = 6 (X^{2} – 3 X + 2)

∴ 3 X^{2 }– 5X = 6X^{2 }– 18X + 12

∴ 3X^{2 }-13 X + 12 = 0

∴ 3 X^{2} – 9X – 4X + 12 = 0

∴ 3 X(X – 3) – 4 (X – 3) = 0

∴ (X – 3) (3 X – 4) = 0

**∴ therefore the roots are X = 3 and X = **

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