-3x^2-21x+24=0

Simple and best practice solution for -3x^2-21x+24=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 -3x^2-21x+24=0 equation:


Simplifying
-3x2 + -21x + 24 = 0

Reorder the terms:
24 + -21x + -3x2 = 0

Solving
24 + -21x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(8 + -7x + -1x2) = 0

Factor a trinomial.
3((1 + -1x)(8 + x)) = 0

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

Solution

x = {1, -8}

See similar equations:

| 10+2(x+2)=2 | | 2x*6x^2= | | 3t+t=19+9 | | (x+1)-14= | | 6x*32+200= | | 9b=72 | | 5x-2=12x-44 | | 2x*12x^2= | | 6x+32-200= | | 6x+23=16x-77 | | 6(2+4)=3(3-y) | | 6(2-y)=3(3-y) | | 2acx*3ax^2*4c= | | y=x^2-2x-48 | | 2+2=89 | | 4n-8=29 | | x^2-6x+1=10 | | 8mn*9m^2n= | | 15-3n=-12 | | 10y-3y=5(-y-12) | | 122-3x=6x+5 | | (3-7k)= | | x^2+4=10 | | x+5=9x^2+x+1 | | x+5=9x+x+1 | | 6x+32=14x-40 | | 2xw*7w= | | 72/9+23/7= | | -135=-5(3-3b) | | 6(x^2-1)=5x | | 8y^2+27y+9= | | -196=5(4r-8)+6r |

Equations solver categories