Question

solve the following quadratic equations by factorization
25x(x+1)=-4​

Answer 1

Answer:

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May God bless you

Answer 2

$25 {x}^{2} (x + 1) = - 4$

$= > 25 {x}^{2} + 25x + 4 = 0$

$= > 52 {x}^{2} + (20 + 5)x + 4 = 0$

$= > 25 {x}^{2} + 20x + 5x + 4 = 0$

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

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

$= > 5x + 4 = 0 \: \: or\: \: = > 5x + 1 = 0$

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

#hope it helps