Question 177223
From:
square root of 7x+29= x + 3 
I'm assuming you mean:
{{{sqrt(7x+29) = x + 3}}}
Squaring both sides:
{{{ 7x+29 = (x+3)^2 }}}
Applying FOIL:
{{{ 7x+29 = x^2+6x+9 }}}
{{{ 29 = x^2-x+9 }}}
{{{ 0 = x^2-x-20 }}}
Factoring:
{{{ 0 = (x-5)(x+4) }}}
.
Solutions:
x = {-4, 5}