Question

Solve the following
3x² - 17x +10 = 0​

Answer 1

$3 {x}^{2} - 17x + 10 = 0 \\ 3 {x}^{2} - 15x - 2x + 10 = 0 \\ 3x( x - 5) - 2(x - 5) = 0 \\ (x - 5)(3x - 2) = 0 \\ (x - 5) = 0 \: \: \: \: \: \: \: (3x - 2) = 0 \\ x = 5 \: \: \: \: \: \: 3x = 2 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{2}{3}$