3 is a factor and dividing by 3 gives x + 15 = 8x
(3x + 4)(5x + 3)
6x2 + 5x - 6 is factored out to (2x + 3)(3x - 2).
5x^3(3x + 2)
You would first factor out anything that is common between the 3 parts. 2x2 is the greatest common factor. To pull out the 2x2, you divide each term by 2x2 like so:12x4/2x2=6x210x3/2x2=5x-12x2/2x2=-6We now know that 12x4+10x3-12x2= 2x2(6x2+5x-6)The next step involves using the "slip and slide" method for the trinomial inside the parentheses:6x2+5x-6x2+5x-36(x+9)(x-4)(x+9/6)(x-4/6)(x+3/2)(x-2/3)(2x+3)(3x-2)Remembering that the result for the slip and slide method only accounts for 6x2+5x-6 we must multiply (2x+3)(3x-2) by 2x2.Your final answer is 2x2(2x+3)(3x-2).
15x2 - 24x + 9 = 3*(5x2 - 8x + 3) = 3*(5x2 - 5x - 3x + 3)= 3*[5x(x - 1) -3*(x - 1)] = 3*(5x - 3)*(x - 1) . . . . . (A) 3x - 3 = 3*(x - 1) . . . . . . . (B) So, (A) and (B) have 3*(x - 1) as common factors and cancelling these gives (A)/(B) = 5x - 3
3x - 24x + 5 + 3 = -21x + 8
5x + 5 = 8 -3x 5x = 3 -3x 8x = 3 x = 0.375
5x+3 = 3x+11 5x-3x = 11-3 2x = 8 x = 4
4x + -x = 3x
32-5x=3x+8 32-5x-8=3x+8-8 24-5x=3x 24-5x+5x=3x+5x 24=8x x=24/8=3
The value of x is: x=7/8. Work: 5x-3=4-3x +3 +3 ________ 5x=7-3x +3x +3x ________ 8x=7 /8 /8 ________ x=7/8
3x + 7 = 5x + 13 3x - 5x = 13 - 7 -2x = 6 -x = 3 x = -3
3x+7=5x-13 ----> 3x-5x=-13-7 ----> -2x=-6 -----> x=3
5x -2x = 3
3x**2=5x 3x=5 x=5/3
2x-5x-3 -3x-3 -3(x+1)