Answer
$7$
Work Step by Step
Given: $x^2=14x-49$
or, $x^2-14x+49=0$
Need to use factorization to solve the quadratic equation.
This can be factorized as follows:
$x^2-7x-7x+49=0$
or, $(x-7)(x-7)=0$ or, $(x-7)^2=0$
Now $x-7=0$
This implies $x=7$
