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Question
Solve the following quadratic equations by factorization:
25x(x + 1) = -4
Solution
We have been given
25x(x + 1) = -4
25x2 + 25x + 4 = 0
25x2 + 20x + 5x + 4 = 0
5x(5x + 4) + 1(5x + 4) = 0
(5x + 1)(5x + 4) = 0
Therefore,
5x + 1 = 0
5x = -1
x = -1/5
or,
5x + 4 = 0
5x = -4
x = -4/5
Hence, x = -1/5 or x = -4/5
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