solvefor x,2m(x)^2+6x=0

解

x, 2 m (x)^{2} + 6 x = 0

x = 0, x = - \frac{3}{m}; m \neq = 0

解答ステップ

2 m x^{2} + 6 x = 0

解くとthe二次式

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 2 m \cdot 0}{2 \cdot 2 m}

6^{2} - 4 \cdot 2 m \cdot 0 = 6

x_{1, 2} = \frac{- 6 \pm 6}{2 \cdot 2 m}; m \neq = 0

解を分離する

x_{1} = \frac{- 6 + 6}{2 \cdot 2 m}, x_{2} = \frac{- 6 - 6}{2 \cdot 2 m}

x = \frac{- 6 + 6}{2 \cdot 2 m} : 0

x = \frac{- 6 - 6}{2 \cdot 2 m} : - \frac{3}{m}

二次equationの解:

x = 0, x = - \frac{3}{m}; m \neq = 0