Question

How do i solve for this

Answer 1

x = -4

Explanation:

`\frac{ \sqrt[3]{6x} }{ \sqrt[3]{2x + 5} } = 2`

`{( \frac{ \sqrt[3]{6x} }{ \sqrt[3]{2x + 5} } )}^(3) = {2}^(3)`

`(6x)/(2x + 5) = 8`

`6x = 8(2x + 5)`

`6x = 16x + 40`

`- 10x = 40`

`x = - 4`

`\frac{ \sqrt[3]{6( - 4)} }{ \sqrt[3]{2( - 4) + 5} } = 2`

`\frac{ \sqrt[3]{ - 24} }{ \sqrt[3]{ - 3} } = 2`

`\sqrt[3]{ ( - 24)/( - 3) } = 2`

`\sqrt[3]{8} = 2`