Given condition, \[x\left( x\text{ }\text{ }5 \right)\text{ }=\text{ }24\]

\[x2\text{ }\text{ }5x\text{ }=\text{ }24\]

\[x2\text{ }\text{ }5x\text{ }\text{ }24\text{ }=\text{ }0\]

\[x2\text{ }\text{ }8x\text{ }+\text{ }3x\text{ }\text{ }24\text{ }=\text{ }0\]

\[x\left( x\text{ }\text{ }8 \right)\text{ }+\text{ }3\left( x\text{ }\text{ }8 \right)\text{ }=\text{ }0\]

\[\left( x\text{ }+\text{ }3 \right)\left( x\text{ }\text{ }8 \right)\text{ }=\text{ }0\]

Thus, \[x\text{ }+\text{ }3\text{ }=\text{ }0\] or \[x\text{ }\text{ }8\text{ }=\text{ }0\]

Consequently,

\[x\text{ }=\text{ }-\text{ }3\] or \[x\text{ }=\text{ }8\]