Answer
$-\dfrac{5}{2},\dfrac{5}{2}$
Work Step by Step
Given: $4x^2=25$
or, $4x^2-25=0$
Need to use factorization to solve the quadratic equation.
This can be factorized as follows:
$(2x)^2-(5)^2=0$
or, $(2x+5)(2x-5)=0$
Now, $2x+5=0$ and $2x-5=0$
This implies $x=-\dfrac{5}{2},\dfrac{5}{2}$
