Solve the following quadratic equation by factorization.
$25 x (x + 1) = - 4$

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Solution

product of 25 and 4 = 100
which can be written as 20 x 5
20+5= 25

$25 x squared plus 25 x plus 4 equals 0 25 x squared plus 5 x plus 20 x plus 4 equals 0 5 x left parenthesis 5 x plus 1 right parenthesis plus 4 left parenthesis 5 x plus 1 right parenthesis equals 0 left parenthesis 5 x plus 4 right parenthesis left parenthesis 5 x plus 1 right parenthesis equals 0 x equals fraction numerator negative 4 over denominator 5 end fraction comma fraction numerator negative 1 over denominator 5 end fraction$

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