本週的问题

更新于Feb 11, 2019 4:37 PM

最近的帖子

Feb 11, 2019

您如何解决方程\((4+4m)\times \frac{3-m}{5}=\frac{12}{5}\)？

以下是答案。

\[(4+4m)\times \frac{3-m}{5}=\frac{12}{5}\]

简化\((4+4m)\times \frac{3-m}{5}\)至\(\frac{(4+4m)(3-m)}{5}\)

\[\frac{(4+4m)(3-m)}{5}=\frac{12}{5}\]

抽出相同的项目\(4\)

\[\frac{4(1+m)(3-m)}{5}=\frac{12}{5}\]

将两边乘以\(5\)

\[4(1+m)(3-m)=12\]

扩展

\[12-4m+12m-4{m}^{2}=12\]

简化\(12-4m+12m-4{m}^{2}\)至\(12+8m-4{m}^{2}\)

\[12+8m-4{m}^{2}=12\]

取消两边的\(12\)

\[8m-4{m}^{2}=0\]

抽出相同的项目\(4m\)

\[4m(2-m)=0\]

求解\(m\)

How?

\[m=0,2\]

完成