x(3x+6)=24

Simple and best practice solution for x(3x+6)=24 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 x(3x+6)=24 equation:


Simplifying
x(3x + 6) = 24

Reorder the terms:
x(6 + 3x) = 24
(6 * x + 3x * x) = 24
(6x + 3x2) = 24

Solving
6x + 3x2 = 24

Solving for variable 'x'.

Reorder the terms:
-24 + 6x + 3x2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 6x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 2x + x2) = 0

Factor a trinomial.
3((-4 + -1x)(2 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-4, 2}

See similar equations:

| 5*x^2+2*x= | | X^2-10x-175=0 | | 4p+9=63 | | -5+4r+1-10r= | | x+8+3= | | -9b-6b= | | X-Y=78 | | x-33=2y-487 | | 25=5p | | 4-4x-x=0 | | 3[x+3]=7[x-2] | | x^4=2x^3+15x^2e | | 3t+6t+6+5= | | .2x+.5y+.1z=.4 | | 4a-2-7-5a= | | (2x+8)-(-5x+15)=32 | | -x^4+4x^2+2x-4=0 | | 4[x-2]=10-2x | | x(6x-4)=0 | | .62*.45= | | 5x-2+x=7x-16 | | -3+8y=8y-6 | | x(4x-x)=0 | | 2x*10=20(2x-4) | | 4y +3= 15 | | 12(2y+4)= | | 37+k=167 | | .6x+.8(x-5)=80 | | 5[x-2]=6[x-8] | | 60+y=32 | | 8x+x+19=118 | | 2x-5=85-4x |

Equations solver categories