GCD(15x, 24x) = 3x
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This may be copied wrong, but as written that equals 4x^2-15x which factors to x(4x - 15)
15X - 10 = - 9X + 2 add 9X to both sides 15X + 9X - 10 = - 9X + 9X +2 24X - 10 = 2 add 10 to each side 24X - 10 + 10 = 2 + 10 24X = 12 divide each sides integer by 24 (24/24)X = 12/24 X = 1/2 ------------check in original equation 15(1/2) - 10 = - 9(1/2) + 2 15/2 - 10 = - 9/2 + 2 Now, 10 is 20/2 and 2 is 4/2 15/2 - 20/2 = - 9/2 + 4/2 - 5/2 = - 5/2 ---------------------checks
-15x=-5*3x+2 -15x=-15x+2 +15x +15x ----------------- 0=2
5x^2-24x+11
3x2-24x-48 is not factorable.