+37 8x(2x)^2=8
Divide both sides by 8
x(2x)^2=1
Simplify the exponent
x(2x)^2=x(2x)(2x)
Apply the distributive property
(2x)(2x)=4x^2
(4x^2)x=4x^3
We now have 4x^3=1
Divide by the constant on the left side (4)
x^3=(1/4)
Take the cube root
\(x = \sqrt[3]{1/4}\)
Simplify
\(x = 1/\sqrt[3]{4}\)
