5(3n+3n)=2(5n-4)6n

Simple and best practice solution for 5(3n+3n)=2(5n-4)6n 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 5(3n+3n)=2(5n-4)6n equation: 


Simplifying
5(3n + 3n) = 2(5n + -4) * 6n

Combine like terms: 3n + 3n = 6n
5(6n) = 2(5n + -4) * 6n

Remove parenthesis around (6n)
5 * 6n = 2(5n + -4) * 6n

Multiply 5 * 6
30n = 2(5n + -4) * 6n

Reorder the terms:
30n = 2(-4 + 5n) * 6n

Reorder the terms for easier multiplication:
30n = 2 * 6n(-4 + 5n)

Multiply 2 * 6
30n = 12n(-4 + 5n)
30n = (-4 * 12n + 5n * 12n)
30n = (-48n + 60n2)

Solving
30n = -48n + 60n2

Solving for variable 'n'.

Combine like terms: 30n + 48n = 78n
78n + -60n2 = -48n + 60n2 + 48n + -60n2

Reorder the terms:
78n + -60n2 = -48n + 48n + 60n2 + -60n2

Combine like terms: -48n + 48n = 0
78n + -60n2 = 0 + 60n2 + -60n2
78n + -60n2 = 60n2 + -60n2

Combine like terms: 60n2 + -60n2 = 0
78n + -60n2 = 0

Factor out the Greatest Common Factor (GCF), '6n'.
6n(13 + -10n) = 0

Ignore the factor 6.

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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(13 + -10n)' equal to zero and attempt to solve:

Simplifying
13 + -10n = 0

Solving
13 + -10n = 0

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

Add '-13' to each side of the equation.
13 + -13 + -10n = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -10n = 0 + -13
-10n = 0 + -13

Combine like terms: 0 + -13 = -13
-10n = -13

Divide each side by '-10'.
n = 1.3

Simplifying
n = 1.3
Solution
n = {0, 1.3}

See similar equations:

| 28(c+16)=532 | | a=Fm | | 2x=8-16 | | p=75.4509-0.706948t | | 9x+12x=9+x | | 3[1-(7x-3)]=6(4-3x) | | 2c-3d=-11 | | 8x+2=x+8 | | 9(w-3)=108 | | y=10.5 | | 0.6(m-8)=4 | | 8x+3=37 | | J^2-19j+48= | | 12-4y=x | | 3(2)-2(-5)= | | 5.5+2.1t-6.4=0.1+4.1-8t | | 10(u-90)=70 | | 7(n+9)+11=95 | | -6(m+18)=66 | | -9x+y=55 | | k(x)=10x+5 | | 5n=214 | | y+6=1(x-9) | | 4x-6+6=4x+6 | | 8x+15=87 | | 2x+(3x-4)=4x-4 | | 6x-9=24+3 | | w-100=840 | | 2x+4y^2-16=0 | | 2x+(3x-4)=1x-4 | | 13n=8n-33-6n | | -154.16+4c=x |

Equations solver categories