Unsure how to solve this quadratic formula problem and how to expand and substitute into the formula Find all values of a and b that will make $(ax+5)^2 = 16x^2 + bx + 25$ true for all $x$.
I believe that this is an equation that needs to be solved using the quadratic formula but am not sure how to expand and substitute into the formula. Any pointers/tips would be helpful.

If its true for all $x$, then its true for $x=1$ and $x=-1$. Evaluate those values of $x$, then sum the resulting equations and you will be able to solve for $a$. Then substitute the value of $a$ to solve for $b$.
