(x+2)(x)(6)=480

Simple and best practice solution for (x+2)(x)(6)=480 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+2)(x)(6)=480 equation: 


Simplifying
(x + 2)(x)(6) = 480

Reorder the terms:
(2 + x)(x)(6) = 480

Reorder the terms for easier multiplication:
6x(2 + x) = 480
(2 * 6x + x * 6x) = 480
(12x + 6x2) = 480

Solving
12x + 6x2 = 480

Solving for variable 'x'.

Reorder the terms:
-480 + 12x + 6x2 = 480 + -480

Combine like terms: 480 + -480 = 0
-480 + 12x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-80 + 2x + x2) = 0

Factor a trinomial.
6((-10 + -1x)(8 + -1x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 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 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-10, 8}

See similar equations:

| 0.8q+9=8(0.6-2) | | 2x=8y+10 | | -3x^2+4y+2=0 | | 100x-20x^2=0 | | 5(p-5)-8(p+1)=3p+6-4p-7 | | 3/8x=5 | | 3(r+4)= | | (2x)(x^2)=15.21 | | 3(2x+7)-3x=24 | | 0.02(6t+3)=0.04(t+2)+0.02 | | 10f^2-1000=0 | | 11-5y=3-y | | -3p-15=-4 | | K+(-3)=5 | | 2(3(-20)+3)-10= | | X^2+24x=-145 | | 1/3x-30=x-10 | | 2(2x+6)=-2(-5x-6) | | 5x+-11=12x+10 | | 8((-20)+2)-2(-20)= | | y(y+2)-2(16-y)=7-(15-y(y+2)) | | 9(h+3)+-4h=-3 | | 8x+4y=132 | | 10a-37=6a+52 | | 32-a=4(8-8a) | | 5(2a-b)-3(6b-7a)= | | 88=-4w | | 5.56x^2-47x+137=0 | | m/8=5+4 | | 38+7n=8(n+4) | | 6x^2-36x^2+30=0 | | 5.95p+0.19=15.83 |

Equations solver categories