Реши уравнения: 1) \(\frac{3}{4}k = -6\); 2) -3,75 : m = -\(\frac{1}{2}\); 3) n : \(\left(-\frac{5}{6}\right) = 30\); 4) -4 ⋅ (x - 12) = 0; 5) (x - 15) ⋅ (x + 8) = 0.

Решим уравнения:

1) \(\frac{3}{4}k = -6\)

\(k = -6 : \frac{3}{4}\)

\(k = -6 \cdot \frac{4}{3}\)

\(k = -\frac{24}{3}\)

\(k = -8\)

2) \(-3,75 : m = -\frac{1}{2}\)

\(m = -3,75 : \left(-\frac{1}{2}\right)\)

\(m = 3,75 \cdot 2\)

\(m = 7,5\)

3) \(n : \left(-\frac{5}{6}\right) = 30\)

\(n = 30 \cdot \left(-\frac{5}{6}\right)\)

\(n = -\frac{150}{6}\)

\(n = -25\)

4) \(-4 \cdot (x - 12) = 0\)

\(x - 12 = 0\)

\(x = 12\)

5) \((x - 15) \cdot (x + 8) = 0\)

\(x - 15 = 0\) или \(x + 8 = 0\)

\(x = 15\) или \(x = -8\)

Ответ: k = -8; m = 7,5; n = -25; x = 12; x = 15 или x = -8

Ответ: k = -8; m = 7,5; n = -25; x = 12; x = 15 или x = -8