If you want to factor it, you can do so by finding two numbers that add up to make 2, and multiply to make 24.
Unfortunately, there are no two such numbers, so that expression does not have any factors.
If you want to solve for a value, that can be done by completing the square. Because there is no value given (e.g. x2 - 2x + 24 = 23), there is no solution to be found.
(x-12)2 using perfect square
It is: (2x+3)(3x-8) when factored
Factor out a 22(X2 + X - 12)2(X - 3)(X + 4)===========
x2 + y2 + 6x + 8y - 24 = 0 add 32, 42, and 24 to both sides to complete the squares (x2 + 6x + 32) + (y2 + 8y + 42) = 9 + 16 + 24 (x + 3)2 + (y + 4)2 = 49 [x - (-3)]2 + [y - (-4)]2 = 72 Center: (-3, -4) Radius: 7
18 + 24 - 30 = 12
x2+5x-24=0(x+8)(x-3)=0x=-8 x=3
(x-12)2 using perfect square
3x2 -14x -24 can be factored as (3x + 4)(x - 6).
x2-10x-24 = (x+2)(x-12) when factored
It is: (2x+3)(3x-8) when factored
The equation x2 - 5x - 24 = 0 has the two solutions 8 and -3 for x.
Factor out a 22(X2 + X - 12)2(X - 3)(X + 4)===========
24
X2+5x-6. a=1, b=5, and c=-6 The formula is: -b plus or minus the square root of b squared minus 4ac all over 2a. -b+square root of b2-4ac ---- 2a -5 plus or minus the square root of 5 squared minus 4(1)(-6) -5 plus or minus the square root of 25-4(-6) -5 plus or minus the square root of 25+24 -5 plus or minus the square root of 49 -5 plus or minus 7 Here is where you split into two different answers: Number 1: -5 plus 7= 2 Number 2: -5 minus 7= -12 Your answer is X=2, -12
24
x2 + y2 + 6x + 8y - 24 = 0 add 32, 42, and 24 to both sides to complete the squares (x2 + 6x + 32) + (y2 + 8y + 42) = 9 + 16 + 24 (x + 3)2 + (y + 4)2 = 49 [x - (-3)]2 + [y - (-4)]2 = 72 Center: (-3, -4) Radius: 7
24 divided by 4 = 6 5^2= 25, so 6 + 25 = 31 31x2 = 62 62-9= 53