SOLUTION: solve: cuberoot of 2x+15-3/2 times cuberoot of x=0

Question 181161This question is from textbook algebra 2
: solve:
cuberoot of 2x+15-3/2 times cuberoot of x=0 This question is from textbook algebra 2

Answer by eperette(173) (Show Source): You can put this solution on YOUR website!
cuberoot(2x+15) - (3/2cuberoot(x)) = 0
cuberoot(2x + 15) = 3/2cuberoot(x)
(cuberoot(2x+15))^3 = (3/2cuberoot(x))^3
2x + 15 = (3/2)^3(x)
2x + 15 = (27/8)(x)
2x-2x + 15 = (27/8)x - 2x
0 + 15 = (27/8)x - (16/8)x
15 = (11/8)x
8(15) = 8(11/8)x
120 = 11x
120/11 = 11x/11
120/11 = x

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