4rs-4r+5rs+10r=

Simple and best practice solution for 4rs-4r+5rs+10r= 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 4rs-4r+5rs+10r= equation: 


Simplifying
4rs + -4r + 5rs + 10r = 0

Reorder the terms:
-4r + 10r + 4rs + 5rs = 0

Combine like terms: -4r + 10r = 6r
6r + 4rs + 5rs = 0

Combine like terms: 4rs + 5rs = 9rs
6r + 9rs = 0

Solving
6r + 9rs = 0

Solving for variable 'r'.

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

Factor out the Greatest Common Factor (GCF), '3r'.
3r(2 + 3s) = 0

Ignore the factor 3.

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

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0

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

Simplifying
2 + 3s = 0

Solving
2 + 3s = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3s = 0 + -2
3s = 0 + -2

Combine like terms: 0 + -2 = -2
3s = -2

Add '-3s' to each side of the equation.
3s + -3s = -2 + -3s

Combine like terms: 3s + -3s = 0
0 = -2 + -3s

Simplifying
0 = -2 + -3s

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
r = {0}

See similar equations:

| X-3/1/8=7/1/4 | | 7x+55+90=180 | | ix^3-3x^2-3ix+1=0 | | I^2R-5=R | | -3(5p+4)-2(5-14p)=3(5+4p) | | 15+6=14y-8-13y | | 3x-1/3=5/2/3 | | 24k+4= | | 99r+67=68 | | 4x^2=23 | | 7k-16k+100=0 | | P-4=-0+p | | 16p-p= | | m-8-2-0.5=(m-2) | | x/6-20/3 | | 3x/69 | | (7b+3c)+(8b-10c)= | | 3x^2-7=2x^2+6 | | (7c+3c)+(8b-10c)= | | -10(x+7)-16= | | -19(x+7)-16= | | factorx^4+4=0 | | (6v^6-12v^3)/3v^3 | | 11x=-10x-10 | | -3(4x+9y-7xy)= | | 17x-8x-9x=76-40 | | -3(5p+2)-2(2-17p)=3(8+6p) | | 8m=4a+2(20) | | 36y^2+8y-1=0 | | x^5+3*x-4=0 | | 6(2x+8y)= | | 24x^2-3x^3=0 |

Equations solver categories