Factor using the perfect square rule.
Rewrite 16×2 as (4x)2.
Rewrite 49 as 72.
Check the middle term by multiplying 2ab and compare this result with the middle term in the original expression.
Factor using the perfect square trinomial rule a2-2ab+b2=(a-b)2, where a=4x and b=-7.
Set the 4x-7 equal to 0.
Solve for x.
Add 7 to both sides of the equation.
Divide each term by 4 and simplify.
Divide each term in 4x=7 by 4.
Cancel the common factor of 4.
Cancel the common factor.
Divide x by 1.
Solve using the Square Root Property 16x^2-56x+49=0