24x^2-132x-480=0

Simple and best practice solution for 24x^2-132x-480=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 24x^2-132x-480=0 equation:


Simplifying
24x2 + -132x + -480 = 0

Reorder the terms:
-480 + -132x + 24x2 = 0

Solving
-480 + -132x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(-40 + -11x + 2x2) = 0

Factor a trinomial.
12((-5 + -2x)(8 + -1x)) = 0

Ignore the factor 12.

Subproblem 1

Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {-2.5, 8}

See similar equations:

| 7x-1-3x=11 | | 2i(5-3i)= | | 16a+15b+5c+3c-6b-4a= | | 7f+9=5 | | n-6=4n+5 | | 9b-2=-28 | | p-3=6-2p | | 2y-2x=180 | | 2x=-5y+11 | | 2m+12=-14-6m | | 12x-5y=35 | | 4x-15=7x+3 | | -4x+12=-44 | | D+2+6D+6(-5)=4D+5 | | 3/53/8= | | 9x-12=2y+17 | | (8i)(4i)(-9i)= | | 5x=6y(10.8)-24 | | 30n=22n+80 | | 3/81/9= | | x-(2x-5)=13 | | 7(6x+6)+5=42x+47 | | D+2+6D+30=4D+5 | | y/4-8=4 | | 5x+4=5(x+6) | | 7x+14=4+8x | | 9+y=8-x | | 7x-3=-11+6x | | -2x+8=-10 | | -5g+2.3=-10 | | 5x-7y=100 | | 3*x*x+2*x+1=0 |

Equations solver categories