First, we start with the given equation:
[tex]\[ 12 \sqrt[3]{x+15} = 36 \][/tex]
To simplify this equation, we can isolate the cube root term. We do this by dividing both sides of the equation by 12. This gives us:
[tex]\[ \sqrt[3]{x+15} = \frac{36}{12} \][/tex]
Simplifying the right-hand side, we get:
[tex]\[ \sqrt[3]{x+15} = 3 \][/tex]
Therefore, the equation equivalent to [tex]\( 12 \sqrt[3]{x+15} = 36 \)[/tex] is:
[tex]\[ \sqrt[3]{x+15} = 3 \][/tex]
