Question 1204178
equation is:


1/32 * x ^ (3/2) - 4 = 12
add 4 to both sides to get:
1/32 * x ^ (3/2) = 16
multiply both sides by 32 to get:
x ^ (3/2) = 16 * 32 = 512
raise both sides by the power of (2/3) to get:
(x ^ (3/2)) ^ (2/3) = 512 ^ (2/3)
simplify to get:
x ^ ((3/2) * (2/3)) = 512 ^ (2/3)
simplify further to get:
x = 512 ^ (2/3)
solve for x to get:
x = 64


confirm by replacing x with 64 n the original equation to get:
1/32 * 64 ^ (3/2) - 4 = 12 becomes 12 = 12, confirming the value of x is good.