Question 400635
{{{ 4x^2=27x+7 }}} move everything to the left side, so subtract 27x from each side and subtract 7 from each side.

{{{ 4x^2-27x-7=27x-27x+7-7 }}} 
{{{ 4x^2-27x-7=0 }}} now we factor 
{{{ (4x+1)(x-7)=0 }}} now set each part equal to zero and solve for x
4x+1=0
4x=-1
x=-1/4
x-7=0
x=7