Posted by **SO LOST** on Wednesday, February 2, 2011 at 12:35pm.

Did I do this problem the correct way if so is there a shorter way to explain this?

x(x + 6)(x + -4) = 24x

x(6 + x)(x + -4) = 24x

x(6 + x)(-4 + x) = 24x

(6 + x) * (-4 + x

x(6(-4 + x) + x(-4 + x)) = 24x

x((-4 * 6 + x * 6) + x(-4 + x)) = 24x

x((-24 + 6x) + x(-4 + x)) = 24x

x(-24 + 6x + (-4 * x + x * x)) = 24x

x(-24 + 6x + (-4x + x2)) = 24x

6x + -4x = 2x

x(-24 + 2x + x2) = 24x

(-24 * x + 2x * x + x2 * x) = 24x

(-24x + 2x2 + x3) = 24x

-24x + 2x2 + x3 = 24x

-24x + -24x + 2x2 + x3 = 24x + -24x

-24x + -24x = -48x

-48x + 2x2 + x3 = 24x + -24x

24x + -24x = 0

-48x + 2x2 + x3 = 0

x(-48 + 2x + x2) = 0

x((-8 + -1x)(6 + -1x)) = 0

x = 0

-8 + 8 + -1x = 0 + 8

0 + -1x = 0 + 8

-1x = 0 + 8

-1x = 8

x = -8

x = {0, -8, 6}

- algebra -
**drwls**, Wednesday, February 2, 2011 at 12:43pm
First of all, x=0 is clearly a solution.

For other solutions, divide both sides by x to get the quadratic

(x+6)(x-4) = 24

x^2 +2x -24 = 24

x^2 +2x -48 = 0

(x+8)(x-6) = 0

x = -8 or 6

Your answer is correct but you got there the hard way.

## Answer this Question

## Related Questions

- Maths - is this correct... (3x^2+4x-3)^2-(3x^2-x+2)^2 then is it this (9x^4+24x^...
- alg2 check? - solve 3(8x-2)=46-2(12x+1) 24x-6=46-24x+2 24x-6=48-24x 48x-6=48 48x...
- Math - (2x-1)(3x-7)(4x+3) =6x^2-14x-33x+7 =(6x^2-19x+7)(4x+3) =24x^3+18x^2-126x+...
- Math - consider the equations:f(x)=-6x-1 and g(x)=4x^2 Select the solution for (...
- math help - 5) Consider the equations: f(X)= -6x-1 and g(x)=4x^2 Select the ...
- algebra - 24x^4-12x^3+48x^2/-4x 24x^4-12x^3+12(-1) 24x^4-12x^3+(-12x) 2x^4-12x^3...
- math help please - 12. (-8x) x (3x^2) -5x^3 -24x^2 -24x^3 -5x^2 13. (-11z)^0 z 1...
- MATH - f(x)= -6x-1 and g(x)=4x^2 select the soultion for (f+g)(x) stuck not sure...
- Algebra - checking problem Use FOIL to multiply: (6x – 1)(3x – 4) 6x*3x + 6x*(-4...
- algebra - -12X^6+24x^5-18x^2/-6x^2=2x^4+24x^3-3x could some one check this for ...