Solve for x in 50x^(3/2) = 32x^(-1/2)?

2 answers

50x^(3/2) = 32x^(-1/2)
50x^(3/2) - 32x^(-1/2) = 0
x^(-1/2) (50x^2 - 32) = 0

1/√x = 0 , no such solution
or x^2 = 32/50 = 16/25
x = ± 4/5
Pls I dont understand the solution
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