Вопрос:

Find the roots of the equation \(-5x^2 = 25x\).

Ответ:

Let's solve the equation step by step: 1. Rewrite the equation as \(-5x^2 - 25x = 0\). 2. Factorize \(-5x(x + 5) = 0\). 3. Set each factor to zero: - \(-5x = 0\) implies \(x = 0\). - \(x + 5 = 0\) implies \(x = -5\). Thus, the solutions are \(x_1 = 0\) and \(x_2 = -5\).
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