9c(45d+3)=17c(34d-12)

Simple and best practice solution for 9c(45d+3)=17c(34d-12) 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 9c(45d+3)=17c(34d-12) equation: 


Simplifying
9c(45d + 3) = 17c(34d + -12)

Reorder the terms:
9c(3 + 45d) = 17c(34d + -12)
(3 * 9c + 45d * 9c) = 17c(34d + -12)
(27c + 405cd) = 17c(34d + -12)

Reorder the terms:
27c + 405cd = 17c(-12 + 34d)
27c + 405cd = (-12 * 17c + 34d * 17c)
27c + 405cd = (-204c + 578cd)

Solving
27c + 405cd = -204c + 578cd

Solving for variable 'c'.

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

Add '204c' to each side of the equation.
27c + 204c + 405cd = -204c + 204c + 578cd

Combine like terms: 27c + 204c = 231c
231c + 405cd = -204c + 204c + 578cd

Combine like terms: -204c + 204c = 0
231c + 405cd = 0 + 578cd
231c + 405cd = 578cd

Add '-578cd' to each side of the equation.
231c + 405cd + -578cd = 578cd + -578cd

Combine like terms: 405cd + -578cd = -173cd
231c + -173cd = 578cd + -578cd

Combine like terms: 578cd + -578cd = 0
231c + -173cd = 0

Factor out the Greatest Common Factor (GCF), 'c'.
c(231 + -173d) = 0


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

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0

Subproblem 2
Set the factor '(231 + -173d)' equal to zero and attempt to solve:

Simplifying
231 + -173d = 0

Solving
231 + -173d = 0

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

Add '-231' to each side of the equation.
231 + -231 + -173d = 0 + -231

Combine like terms: 231 + -231 = 0
0 + -173d = 0 + -231
-173d = 0 + -231

Combine like terms: 0 + -231 = -231
-173d = -231

Add '173d' to each side of the equation.
-173d + 173d = -231 + 173d

Combine like terms: -173d + 173d = 0
0 = -231 + 173d

Simplifying
0 = -231 + 173d

The solution to this equation could not be determined.

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

See similar equations:

| 3.7(2d+1)=4.25(d+2)-1 | | 3x+36=2 | | 8lnx=64 | | 15-d=-616 | | 8(41-9y)=13 | | Log[9]6-log[9]x=2 | | 2(5z-1)-4(z-3)= | | 299-99p=999-29p | | (x^2-4)(x^2-16)=0 | | 9x+8=7x+50 | | 8-x=-17 | | 6P^2=5P+6 | | 3(9p+5)=8(6p+3) | | 5/7x-2/7=5 | | 7m-3n=-10 | | 2x-8+8x-12=90 | | 2x+4=.50(3x-1) | | -5w+11=-4 | | 5/7x-2/7x=5 | | 14x^2=225 | | -12x+yi=60-1 | | -x+4x=-90 | | 5y+44=-2y+16 | | 9-2(3)=3 | | Tn=2n-4 | | f(-x)=8x-9 | | 8x^2+40x-78=0 | | S=21.3+2.4B | | 2=4b+18 | | X-5=6x+8-3-5x | | 2x-3+5x=39 | | f(-2)=4x^2-6x-3 |

Equations solver categories