3x(2+x)=24

Simple and best practice solution for 3x(2+x)=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 3x(2+x)=24 equation:


Simplifying
3x(2 + x) = 24
(2 * 3x + x * 3x) = 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:

| 6-3x=5x-10+10-4 | | -4-3x=8x+23 | | 35x^2+26x-16=0 | | 2(3x+4)=2x+7 | | 12x+6= | | 2b-8=-b-7 | | 6x-5=15x-50 | | x^2-1734x+14199=0 | | 6x+32=15x-67 | | X^2=4i | | 7p-6=4-2p | | x(x+1)=30 | | 5x-3=12x-73 | | 4x-20=2x+18 | | 5y+2=7x-3 | | 311=y-41 | | 5x+8=3x+16 | | 10(m+5+5n)= | | (3xy+5z)(3xy+5z)= | | 12=11d-2d^2 | | (3a-5b)(3a-5b)= | | 5.6+3= | | x^2+35=12x-1 | | 9-a=11-2a | | (2x+3y)(2x+3y)= | | 9=6a-27 | | 2k^2+9=-7 | | (9x-2)(9x-2)= | | 5-8X=55-43X | | (T)(3)=-15 | | -91-10X=9X+23 | | A=ax(2)+bx+c |

Equations solver categories