Question 223419
{{{4x^2 = x}}}
Subtract x from both sides
{{{4x^2 - x = 0}}}
Factor out x
{{{x(4x - 1) = 0}}}
Two solutions
x = 0
and
4x = +1
x = {{{1/4}}}
:
Check this solution in original equation
{{{4(1/4)^2 = (1/4)}}}
:
{{{4(1/16) = (1/4)}}}
:
{{{(4/16) = (1/4)}}}