21n^2-44n+15=0

Simple and best practice solution for 21n^2-44n+15=0 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 21n^2-44n+15=0 equation:


Simplifying
21n2 + -44n + 15 = 0

Reorder the terms:
15 + -44n + 21n2 = 0

Solving
15 + -44n + 21n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(3 + -7n)(5 + -3n) = 0

Subproblem 1

Set the factor '(3 + -7n)' equal to zero and attempt to solve: Simplifying 3 + -7n = 0 Solving 3 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7n = 0 + -3 -7n = 0 + -3 Combine like terms: 0 + -3 = -3 -7n = -3 Divide each side by '-7'. n = 0.4285714286 Simplifying n = 0.4285714286

Subproblem 2

Set the factor '(5 + -3n)' equal to zero and attempt to solve: Simplifying 5 + -3n = 0 Solving 5 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3n = 0 + -5 -3n = 0 + -5 Combine like terms: 0 + -5 = -5 -3n = -5 Divide each side by '-3'. n = 1.666666667 Simplifying n = 1.666666667

Solution

n = {0.4285714286, 1.666666667}

See similar equations:

| 7x^2-54x-16=0 | | c+7+2c=19 | | 8m-32m=15 | | (8x+2)2=27 | | 3a+6-2a=11 | | f(x)=4x^2+6x+6 | | x+x^2=2.2093 | | 4n+5+2n=23 | | 2y^2+17y+15= | | 3p^2-20p-7=0 | | 3lnx-2=1 | | 7*8/7=8 | | 5-3y-y=17 | | x+x(0.1)=45 | | x+x(.1)=45 | | x+x.1=45 | | -p-5p+8=20 | | 4t^2=10+18t | | 25n^2-15n-18=0 | | -m+9m-10=6 | | -1=-2d | | w^2-y=0 | | 20=5c-3c+2 | | 2x*5+3=6x | | 2x-5(-7+4x)=9 | | 7=a-3a+9 | | 8k^2+37k+20=0 | | 15p^2+37p-8=0 | | 13=-8y+2y+7 | | x^2+4x+y^2-8y+60=0 | | 4(x+2)-5=19 | | 13=-8y+2y+y |

Equations solver categories