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# Solve the Following Quadratic Equations by Factorization: Abx2 + (B2 - Ac)X - Bc = 0 - Mathematics

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#### Question

Solve the following quadratic equations by factorization:

abx2 + (b2 - ac)x - bc = 0

#### Solution

We have been given

abx2 + (b2 - ac)x - bc = 0

abx2 + b2x - acx - bc = 0

bx(ax + b) - c(ax + b) = 0

(ax + b)(bx - c) = 0

Therefore,

ax + b = 0

ax = -b

x=(-b)/a

or,

bx - c = 0

bx = c

c = c/b

Hence, x=(-b)/a or c = c/b

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