Question

Solve (4x+3)(3x+2)(x+1)(12x+5)-6 =0

Answer 1

Given:

Given expression is, $(4x+3)(3x+2)(x+1)(12x+5)-6=0$.

To find:

We need to simplify the given expression.

Solution:

Consider the given expression,

$\Rightarrow (4x+3)(3x+2)(x+1)(12x+5)-6=0$

We need to simplify the above expression. To simplify, follow the below steps.

First multiply the first two terms, we get

$\Rightarrow (12x^2+8x+9x+6)(x+1)(12x+5)-6=0$

Simplifying the above expression, we get

$\Rightarrow (12x^2+17x+6)(x+1)(12x+5)-6=0$

Now multiply the last two terms, we get

$\Rightarrow (12x^2+17x+6)(12x^2+5x+12x+5)-6=0$

Simplifying the above expression, we get

$\Rightarrow (12x^2+17x+6)(12x^2+17x+5)-6=0$

Now multiply the two terms, we get

$\Rightarrow 144x^4+204x^3+60x^2+204x^3+289x^2+85x+72x^2+102x+30-6=0$

Adding similar terms and simplifying it,

$\Rightarrow 144x^4+408x^3+421x^2+187x+24=0$

The above expression cannot be simplified further.

Therefore, after simplification, the value of given expression is:

$144x^4+408x^3+421x^2+187x+24=0$.