To solve a two-step equation you want to isolate the variable in the equation. In this case it is X.
first: 3X-24=0
+24 +24 add 24 to both sides
second: 3X=24
3X=24 divide by three on both sides
3 3
solution: X=8
you can check your work by plugging in the X value so...
3x8-24=0
24-24=0
0=0 when both sides of the equation equal each other the X value is correct.
-132
3(x - 1)( x + 8)
-6x + 9x2 - 24 = 3(3x2 - 2x - 8) = 3(3x2 - 6x + 4x - 8) = 3(3x(x - 2) + 4(x - 2)) = 3(3x + 4)(x - 2)
By multiplying them. 4 x 6 = 24
-3(x + 2)(x + 4)
3x2 -14x -24 can be factored as (3x + 4)(x - 6).
3x2 + 6x - 24First factor out any common factors of the three terms. In this case, each term is a multiple of 3. So,3x2 + 6x - 24 = 3(x2 + 2x - 8)Next, use the reverse FOIL method to factor the polynomial in the parenthesis (x2 + 2x - 8). x2 factors out to x * x:(x + ??)(x + ??)Now, we must find two numbers that add to get 2 (from the 2x) and multiply to get -8. Those numbers are -2 and 4. So,(x2 + 2x - 8) = (x - 2)(x + 4)So,3x2 + 6x - 24 = 3(x - 2)(x + 4)
It is not an equation it is an expression but if it was in the form of 4-x-3x2 = 0 then 3x2 by itself:- 3x2 = 4 -x
X + 4 is a factor of x^3 + 3x^2 - 10x - 24 along with (x + 2) and (x - 3)
3x3 - x2 - x - 1 = 3x3 - 3x2 + 2x2 - 2x + x - 1 = 3x2(x - 1) + 2x(x - 1) + 1(x - 1) = (3x2 + 2x + 1)(x - 1) So 3x3 - x2 - x - 1 /(x - 1) = (3x2 + 2x + 1)
3x2 - 7x + 2 = 3x2 - 6x - x + 2 = 3x(x - 2) - 1(x - 2) = (3x - 1)(x - 2) So x = 1/3 or x = 2
3x2 + 2x - 8 = 3x2 + 6x - 4x - 8 = 3x(x + 2) - 4(x + 2) = (x + 2)(3x - 4).
Set the equation equal to zero. 3x2 - x = -1 3x2 - x + 1 = 0 The equation is quadratic, but can not be factored. Use the quadratic equation.