6x(x+5y+3z)=

Simple and best practice solution for 6x(x+5y+3z)= 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 6x(x+5y+3z)= equation: 


Simplifying
6x(x + 5y + 3z) = 0
(x * 6x + 5y * 6x + 3z * 6x) = 0

Reorder the terms:
(30xy + 18xz + 6x2) = 0
(30xy + 18xz + 6x2) = 0

Solving
30xy + 18xz + 6x2 = 0

Solving for variable 'x'.

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

Ignore the factor 6.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(5y + 3z + x)' equal to zero and attempt to solve:

Simplifying
5y + 3z + x = 0

Reorder the terms:
x + 5y + 3z = 0

Solving
x + 5y + 3z = 0

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

Add '-5y' to each side of the equation.
x + 5y + -5y + 3z = 0 + -5y

Combine like terms: 5y + -5y = 0
x + 0 + 3z = 0 + -5y
x + 3z = 0 + -5y
Remove the zero:
x + 3z = -5y

Add '-3z' to each side of the equation.
x + 3z + -3z = -5y + -3z

Combine like terms: 3z + -3z = 0
x + 0 = -5y + -3z
x = -5y + -3z

Simplifying
x = -5y + -3z
Solution
x = {0, -5y + -3z}

See similar equations:

| Y+3x+7+2x+y= | | 10x-102=2x-6 | | 11-8x=23-15 | | 3.5-1=-1/2(-7x+2) | | -1(-3)(-1)(1)= | | A/8=36 | | 625-x^2=0 | | 122-3x=24x+17 | | 3/7=12/x | | 5(3x-8)=26 | | 64-(6x+8)=6(x+5)+x | | 3/7=12/z | | 1.8x-3.1y-4.8x-6.9y= | | 18y-18= | | 73-4x=41x+18 | | 6-4(3x-4)=-38 | | 0.4+9.2=7.4 | | 13-8x=108-43x | | 86-3x=42+16 | | 3(3+2x)-2=25 | | x-5x=8 | | 6-4x=6x-8+2 | | 5x-8(x+5)=6-3 | | 58-3x=33x+18 | | y-192=-19/9(x-0) | | 12-10x=111-31x | | 3(x-1)+5=x-8 | | 2x+13=-75-9 | | -4p=3p+12 | | 12x+6=9x+12 | | -6x-11x=102 | | -3c+19=25 |

Equations solver categories