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
By distribution you make the side equal
If you're comfortable working with fractions and decimals, then
there an infinite number of possible answers.
If you just want to stick to whole numbers, then there are
only four possible answers:
1 x 33
3 x 11
-1 x -33
-3 x -11 .
(Of course, each pair can be turned around and multiplied
in the other direction. When you're multiplying, it doesn't
matter in what order you line up the factors.)
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