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.
3x
3x
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
39x - 45 = 15x - 24
-15x=-5*3x+2 -15x=-15x+2 +15x +15x ----------------- 0=2
3(2) + 24x + 48 = 0 6 + 24x + 48 = 0 24x + 54 = 0 24x + 54 - 54 = 0 - 54 24x = -54 24x/24 = -54/24 x = -9/4 x = -2 1/4
The answer is, 24x
(24x)^5 - (24x)^3 + (16x)^2 - 16 This can be simplified multiple ways: 1. pull (24x)^3 out of the first two terms and 16 out of the second two. (24x)^3((24x)^2-1) + 16(16x^2-1) 2. just pull 8 out of everything 8(3*(24x)^4-3*(24x)^2+32x^2-2) ...
24x - 7 = 17
35x + 15x = 50x
15x-16x = -1