(3x+10)(3x+12)=0

Simple and best practice solution for (3x+10)(3x+12)=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+10)(3x+12)=0 equation: 


Simplifying
(3x + 10)(3x + 12) = 0

Reorder the terms:
(10 + 3x)(3x + 12) = 0

Reorder the terms:
(10 + 3x)(12 + 3x) = 0

Multiply (10 + 3x) * (12 + 3x)
(10(12 + 3x) + 3x * (12 + 3x)) = 0
((12 * 10 + 3x * 10) + 3x * (12 + 3x)) = 0
((120 + 30x) + 3x * (12 + 3x)) = 0
(120 + 30x + (12 * 3x + 3x * 3x)) = 0
(120 + 30x + (36x + 9x2)) = 0

Combine like terms: 30x + 36x = 66x
(120 + 66x + 9x2) = 0

Solving
120 + 66x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(40 + 22x + 3x2) = 0

Factor a trinomial.
3((4 + x)(10 + 3x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(10 + 3x)' equal to zero and attempt to solve:

Simplifying
10 + 3x = 0

Solving
10 + 3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + 3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 0 + -10
3x = 0 + -10

Combine like terms: 0 + -10 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333
Solution
x = {-4, -3.333333333}

See similar equations:

| 4x+y=12.3 | | 6(5x-1)+2=14 | | 7x+1=2+11 | | 6(5x-1)=14 | | f(n)=8n-5 | | 9b+x-6b-3x= | | 341=140findx | | x+2(x-5)=6 | | 15-x/2=7-x | | 4x+2x=5x-5 | | 2*x-1=511 | | x1/3=27 | | 2x-(x-2)=3 | | 100+9(y-8)=64 | | 2*3x+2=256 | | 25x^2+50x+169=0 | | -9-2(-2x-28)=5(-x+13)-44 | | 0=2x+2y | | 8sin^theta=4/8 | | -25x^2+90x-81=0 | | 3s+6S+5r-2s= | | 7(c+2)+3(c-2)= | | 4w+3w+(6w-3)= | | 6x+5=2x+30 | | -29x^2+90x-81=0 | | 109+6x=106 | | 5x+2x=8-x | | 7d+4=4d+19 | | 7d+4=4d+18 | | 8(c+2)c=5 | | -7+6m+1.6=1 | | 6m+(m-2)4-2=0 |

Equations solver categories