Solve the following quadratic equations by factorization:

In factorization, we write the middle term of the quadratic equation either as a sum of two numbers or difference of two numbers such that the equation can be factorized.




6(x2 + 12 – 7x + x2 + 4 – 5x + x2 – 3x + 2) = (x2 – 3x + 2)(x2 + 12 – 7x)


18x2 – 90x + 108 = x4 + 12x2 – 7x3 – 3x3 – 36x + 21x2 + 2x2 + 24 – 14x


x4 – 10x3 + 17x2 + 40x + 84 = 0


(x + 2)2(x – 7)2 = 0


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