Solve the following quadratic equation by factorization:
$25x(x\ +\ 1)\ =\ –4$

Given:

Given quadratic equation is $25x(x\ +\ 1)\ =\ –4$.

To do:

We have to solve the given quadratic equation by factorization. 

Solution:

$25x(x\ +\ 1)\ =\ –4$ can be written as $25x^2+25x+4=0$.

$25x^2+20x+5x+4=0$ 

$5x(5x+4)+1(5x+4)=0$

$(5x+1)(5x+4)=0$

$5x+1=0$ or $5x+4=0$

$5x=-1$ or $5x=-4$

$x=\frac{-1}{5}$ or $x=\frac{-4}{5}$

The roots of the given quadratic equation are $\frac{-1}{5}$ and $\frac{-4}{5}$.  

Updated on: 10-Oct-2022

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