145. Найдите корень уравнения: a) 5x = -60; б) -10x = 8; в) 7х = 9; г) 6x = -50; д) -9x = -3; е) 0,5x = 1,2; ж) 0,7х = 0; з) -1,5x = 6; и) 42х = 13.

Решение:

1. \( 5x = -60 \) \( \implies x = \frac{-60}{5} \) \( \implies x = -12 \)
2. \( -10x = 8 \) \( \implies x = \frac{8}{-10} \) \( \implies x = -0.8 \)
3. \( 7x = 9 \) \( \implies x = \frac{9}{7} \)
4. \( 6x = -50 \) \( \implies x = \frac{-50}{6} \) \( \implies x = -\frac{25}{3} \)
5. \( -9x = -3 \) \( \implies x = \frac{-3}{-9} \) \( \implies x = \frac{1}{3} \)
6. \( 0.5x = 1.2 \) \( \implies x = \frac{1.2}{0.5} \) \( \implies x = 2.4 \)
7. \( 0.7x = 0 \) \( \implies x = \frac{0}{0.7} \) \( \implies x = 0 \)
8. \( -1.5x = 6 \) \( \implies x = \frac{6}{-1.5} \) \( \implies x = -4 \)
9. \( 42x = 13 \) \( \implies x = \frac{13}{42} \)

Ответ: а) -12; б) -0.8; в) \(\frac{9}{7}\); г) \(-\frac{25}{3}\); д) \(\frac{1}{3}\); е) 2.4; ж) 0; з) -4; и) \(\frac{13}{42}\).