# How do you solve 3m^2 - 5m = -2?

Jun 23, 2015

This equation has 2 solutions: ${m}_{1} = \frac{2}{3}$ and ${m}_{2} = 1$

#### Explanation:

$3 {m}^{2} - 5 m = - 2$

$3 {m}^{2} - 5 m + 2 = 0$

$\Delta = {\left(- 5\right)}^{2} - 4 \cdot 3 \cdot 2 = 25 - 24 = 1$

$\sqrt{\Delta} = 1$

${m}_{1} = \frac{5 - 1}{6} = \frac{2}{3}$

${m}_{2} = \frac{5 + 1}{6} = 1$