solve the equation

Question

1). (x+4)(x-12)=5x

2). 4x^2+2x-14=16-17x

Answer 1

This is an example of why we always get everything on the left side, then factor to make the product zero:

(x+4)(x-12) = 5x
x^2 - 8x - 48 = 5x
x^2 - 13x - 48 = 0
(x-16)(x+3) = 0

Now we have a zero product. That means that if any of the factors is zero, then the product is also zero.

So, x = -3 or 16

Now do the same steps with the second equation