Question

Solve 6x² -18x²=240x

Answer 1

`\begin{gathered} 6x^3-18x^2=240x​ \\ 6x^3-18x^2-240x=240x-240x \\ 6x^3-18x^2-240x=0 \\ 6x\mleft(x+5\mright)\mleft(x-8\mright)=0 \\ x=0\quad \mathrm{or}\quad \: x+5=0\quad \mathrm{or}\quad \: x-8=0 \end{gathered}`

then

`\begin{gathered} x+5=0 \\ x+5-5=0-5 \\ x=-5 \end{gathered}`

or

`\begin{gathered} x-8=0 \\ x-8+8=0+8 \\ x=8 \end{gathered}`

solutions

x = 0

x = - 5

x = 8