how would I solve for (2x-3/2)= (-x-1/4)

2 answers

add x to each side
add 3/2 to each side
I am not sure you mean what you typed.
do you perhaps mean
(2 x)^(-3/2) = (-x)^(-1/4) ???

If I am guessing right then
1/(2 x)^(+3/2) = 1/(-x)^(1/4)
then
(2 x)^(+3/2) = (-x)^(1/4)
square both sides for starters
(2x)^3 = (-x)^(1/2)
8 x^3 = (-x)^1/2+
well, square both sides again
64 x^6 = -x
or
64 x^5 = -1
x = (-1/64)^(1/5)
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