Factor using the perfect square rule.
Rewrite 4×2 as (2x)2.
Rewrite 9 as 32.
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=2x and b=-3.
Set the 2x-3 equal to 0.
Solve for x.
Add 3 to both sides of the equation.
Divide each term by 2 and simplify.
Divide each term in 2x=3 by 2.
Cancel the common factor of 2.
Cancel the common factor.
Divide x by 1.
Solve using the Square Root Property 4x^2-12x+9=0