Question 1033311
Parentheses will remove any doubt about your meaning.
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(5x)/2=1/x+x/4
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Multiply both sides by {{{4x}}}.
{{{(2x)(5x)=4+x^2}}}
{{{10x^2=4+x^2}}}
{{{9x^2=4}}}
{{{x^2=4/9}}}
{{{x=sqrt(4/9)}}}
{{{x= 0 +- 2/3}}}