n^2-28n+24=0

Simple and best practice solution for n^2-28n+24=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 n^2-28n+24=0 equation: 


Simplifying
n2 + -28n + 24 = 0

Reorder the terms:
24 + -28n + n2 = 0

Solving
24 + -28n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + -28n + -24 + n2 = 0 + -24

Reorder the terms:
24 + -24 + -28n + n2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -28n + n2 = 0 + -24
-28n + n2 = 0 + -24

Combine like terms: 0 + -24 = -24
-28n + n2 = -24

The n term is -28n.  Take half its coefficient (-14).
Square it (196) and add it to both sides.

Add '196' to each side of the equation.
-28n + 196 + n2 = -24 + 196

Reorder the terms:
196 + -28n + n2 = -24 + 196

Combine like terms: -24 + 196 = 172
196 + -28n + n2 = 172

Factor a perfect square on the left side:
(n + -14)(n + -14) = 172

Calculate the square root of the right side: 13.114877049

Break this problem into two subproblems by setting 
(n + -14) equal to 13.114877049 and -13.114877049.


Subproblem 1
n + -14 = 13.114877049

Simplifying
n + -14 = 13.114877049

Reorder the terms:
-14 + n = 13.114877049

Solving
-14 + n = 13.114877049

Solving for variable 'n'.

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

Add '14' to each side of the equation.
-14 + 14 + n = 13.114877049 + 14

Combine like terms: -14 + 14 = 0
0 + n = 13.114877049 + 14
n = 13.114877049 + 14

Combine like terms: 13.114877049 + 14 = 27.114877049
n = 27.114877049

Simplifying
n = 27.114877049


Subproblem 2
n + -14 = -13.114877049

Simplifying
n + -14 = -13.114877049

Reorder the terms:
-14 + n = -13.114877049

Solving
-14 + n = -13.114877049

Solving for variable 'n'.

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

Add '14' to each side of the equation.
-14 + 14 + n = -13.114877049 + 14

Combine like terms: -14 + 14 = 0
0 + n = -13.114877049 + 14
n = -13.114877049 + 14

Combine like terms: -13.114877049 + 14 = 0.885122951
n = 0.885122951

Simplifying
n = 0.885122951


Solution
The solution to the problem is based on the solutions
from the subproblems.
n = {27.114877049, 0.885122951}

See similar equations:

| 2(3*5-3)+2(5-3)=2(2*5-1)+2*5 | | 2(3*5-3)+2(5-3)=2(2*5-1)+2x | | 0.10+15=0.15+10 | | -3=4k+9 | | 2(x+2)=26-3(x+4) | | 6x+24=17 | | 5(3n-1)=(6n+9)+4 | | (-3)-(-1)= | | -k=1 | | 7(-3c-1)=63-13c | | -5(-7x-6)-6=374 | | 2x^2+7x-225=0 | | 2(3x-3)+2(x-3)=2(2x-1)+2x | | y-8=1 | | -3x+9=x-1 | | 4n^2-28n+24=0 | | 5x+6-3x=-12 | | -4x^2+7x+41=0 | | 3.15+3.689= | | 2ab-9=5a+c | | 3+5z=-12 | | 13(-8b-14)+14b=-182 | | 0.28(8x-4)=x+8-2x | | 2X+8-8=5X-5X-4-8 | | -12(-2+5n)+3= | | -5a+9b=-ab+2-4a | | 2y+.5x=16 | | 8x-5=12-1 | | 5+3=-4 | | 80-6x=4x | | 10(-14n+10)+8=1368 | | 38-12x=35+6x |

Equations solver categories