Solve for \( x \):
\[ 5x\sqrt[3]{69} = 6x\sqrt{59} \]
Answer (3)
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
5 x 3 69 = 6 x 59 ⇔ 5 x 3 69 − 6 x 59 = 0 x ( 5 3 69 − 6 59 ) = 0 ⇔ x = 0
The solution to the equation is x = 0, which is found by factoring out x from the original equation. There may be additional solutions, but the simplest solution is x = 0 in this case. Further exploration of the other potential solutions can be complex and often reveals that x = 0 suffices for practical purposes.
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