Answer
$-\dfrac{10}{3},\dfrac{10}{3}$
Work Step by Step
Given: $9x^2=100$
or, $9x^2-100=0$
Need to use factorization to solve the quadratic equation.
This can be factorized as follows:
$(3x)^2-(10)^2=0$
or, $(3x+10)(3x-10)=0$
Now, $3x+10=0$ and $3x-10=0$
This implies $x=-\dfrac{10}{3},\dfrac{10}{3}$
