Answer :
5x∛69 = 6x√59
Subtract 6x√59 from each side:
5x∛69 - 6x√59 = 0
Factor the left side:
x (5∛69 - 6√59) = 0
Divide each side by (5∛69 - 6√59) :
x = 0
Subtract 6x√59 from each side:
5x∛69 - 6x√59 = 0
Factor the left side:
x (5∛69 - 6√59) = 0
Divide each side by (5∛69 - 6√59) :
x = 0
[tex]5x \sqrt[3]{69}=6x \sqrt{59}\ \ \ \Leftrightarrow\ \ \ 5x \sqrt[3]{69}-6x \sqrt{59}=0\\\\x(5 \sqrt[3]{69}-6 \sqrt{59})=0\ \ \ \Leftrightarrow\ \ \ x=0[/tex]