6(2x+3)(x+1)=0

Simple and best practice solution for 6(2x+3)(x+1)=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 6(2x+3)(x+1)=0 equation:


Simplifying
6(2x + 3)(x + 1) = 0

Reorder the terms:
6(3 + 2x)(x + 1) = 0

Reorder the terms:
6(3 + 2x)(1 + x) = 0

Multiply (3 + 2x) * (1 + x)
6(3(1 + x) + 2x * (1 + x)) = 0
6((1 * 3 + x * 3) + 2x * (1 + x)) = 0
6((3 + 3x) + 2x * (1 + x)) = 0
6(3 + 3x + (1 * 2x + x * 2x)) = 0
6(3 + 3x + (2x + 2x2)) = 0

Combine like terms: 3x + 2x = 5x
6(3 + 5x + 2x2) = 0
(3 * 6 + 5x * 6 + 2x2 * 6) = 0
(18 + 30x + 12x2) = 0

Solving
18 + 30x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(3 + 5x + 2x2) = 0

Factor a trinomial.
6((3 + 2x)(1 + x)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {-1.5, -1}

See similar equations:

| 2/3x+2=4 | | 4(3r-8)=-80 | | 6+57+3x-(7x+8)+6+3(4x+7)=100 | | 4/3x-33 | | 3x-23=10x-31 | | 31.85=4.9r | | 3+4x-(5+4)=24 | | 0.606=j/16 | | -6d+16=-20 | | 5p+pq=4pr | | y/10.25=12.8 | | x-8/2=7 | | 15.96=7.6f | | x+82=13 | | 12.8=v/11.25 | | 4x+30=6x+30 | | 0.10x-.08x=22 | | 86.25=3.75t | | 7x/4x+3*(8x+6) | | .2x+27=82 | | 0.10x-.08=22 | | 3.5=m/2.6 | | 11x-9=7x+25 | | 58.52=5.6g | | 51.3=11.4u | | 131-2x=25x+20 | | 3p=26.13 | | 11+22y=0 | | b/10.4=9.2 | | 3000-120b=4000-160b | | 40+15=5x | | e/5=2.548 |

Equations solver categories