T(n)=n(6n-10)

Simple and best practice solution for T(n)=n(6n-10) 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 T(n)=n(6n-10) equation: 


Simplifying
T(n) = n(6n + -10)

Multiply T * n
nT = n(6n + -10)

Reorder the terms:
nT = n(-10 + 6n)
nT = (-10 * n + 6n * n)
nT = (-10n + 6n2)

Solving
nT = -10n + 6n2

Solving for variable 'n'.

Reorder the terms:
10n + nT + -6n2 = -10n + 6n2 + 10n + -6n2

Reorder the terms:
10n + nT + -6n2 = -10n + 10n + 6n2 + -6n2

Combine like terms: -10n + 10n = 0
10n + nT + -6n2 = 0 + 6n2 + -6n2
10n + nT + -6n2 = 6n2 + -6n2

Combine like terms: 6n2 + -6n2 = 0
10n + nT + -6n2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(10 + T + -6n) = 0


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 '(10 + T + -6n)' equal to zero and attempt to solve:

Simplifying
10 + T + -6n = 0

Solving
10 + T + -6n = 0

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

Add '-10' to each side of the equation.
10 + T + -10 + -6n = 0 + -10

Reorder the terms:
10 + -10 + T + -6n = 0 + -10

Combine like terms: 10 + -10 = 0
0 + T + -6n = 0 + -10
T + -6n = 0 + -10

Combine like terms: 0 + -10 = -10
T + -6n = -10

Add '-1T' to each side of the equation.
T + -1T + -6n = -10 + -1T

Combine like terms: T + -1T = 0
0 + -6n = -10 + -1T
-6n = -10 + -1T

Divide each side by '-6'.
n = 1.666666667 + 0.1666666667T

Simplifying
n = 1.666666667 + 0.1666666667T
Solution
n = {0, 1.666666667 + 0.1666666667T}

See similar equations:

| 10y-13=11-2y | | 6×3/4 | | t^2-16t+52=0 | | 3a+7=5a+9 | | 6m+19=10m+7 | | 6x^2-17x-16=0 | | 0=x^2+8x-100 | | 7.322a=13.52+2.81a | | 6x^2-17x-16=l | | 2b-19=b | | 3a-7=5a-9 | | 6x+30=9x+42 | | 0.5(x-5)=4(3x-8) | | px^2-3x-p=0 | | -5x+15y= | | 4x+2x+7x=28 | | tg^2(x)=0 | | 0.333(x-5)=4(3x-8) | | 8X=49+X | | 3x^2-9xy= | | 3x^2-9xy-5x+15y= | | 1-7h=9-3h | | Logx(16)=4 | | 7+log[5](4x)=8 | | y=0.25+-0.5-4 | | 5x-7(2x+4)=6x-1 | | t/5-8=13 | | 4t+8=t+12 | | 0.5x-3=14 | | 6x^2-5x=21 | | x+(x-210)+2x=950 | | 3x-5=23x+29 |

Equations solver categories