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1) Multiply coefficient of x^2 with the constant. That is a with c.

2) Now find out the factors of ac.

3) Now choose the factors which if we add or subtract is equals to b.

4) Split the equation according to the factors and then take common in the fist two and the last two terms.

5) Now equate the common terms with zero and find out the values of x.

Now let us discuss the algebraic equation solver with some of the examples.

Now multiply 1 with 2 then we will get it as (1) (2) = 2.

Multiples of 2 are 1 and -2.

Now we can write it as x^2 + x – 2x – 2 = 0 which is equal to x (x + 1) -2 (x + 1) = 0 (x + 1) (x – 2) = 0

so x = -1, 2.

Now multiply 1 by 8 which equals 8.

Now the multiples of 8 are 8, 1.

Now we can write it as x^2 + x + 8x + 8 = 0

Now take x (x + 1) + 8 (x + 1)

= 0 (x + 1)(x + 8) = 0

so x = -1, -8.