Question

Solve the equation for all values of xx.

9x^2-64=
9x
2
−64=
\,\,0
0

Answer 1

Factor:

9x^2 - 64

= (3x)^2 - 8^2

= (3x + 8)(3x - 8)

If you want to solve it, let the equation equal zero

(3x + 8)(3x - 8) = 0

3x + 8 = 0 ; x = -8/3

3x - 8 = 0 ; x = 8/3

Solutions: x = -8/3 and x = 8/3