8n^2-50n-72=0

Simple and best practice solution for 8n^2-50n-72=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 8n^2-50n-72=0 equation: 


Simplifying
8n2 + -50n + -72 = 0

Reorder the terms:
-72 + -50n + 8n2 = 0

Solving
-72 + -50n + 8n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-36 + -25n + 4n2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-36 + -25n + 4n2)' equal to zero and attempt to solve:

Simplifying
-36 + -25n + 4n2 = 0

Solving
-36 + -25n + 4n2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
-9 + -6.25n + n2 = 0

Move the constant term to the right:

Add '9' to each side of the equation.
-9 + -6.25n + 9 + n2 = 0 + 9

Reorder the terms:
-9 + 9 + -6.25n + n2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -6.25n + n2 = 0 + 9
-6.25n + n2 = 0 + 9

Combine like terms: 0 + 9 = 9
-6.25n + n2 = 9

The n term is -6.25n.  Take half its coefficient (-3.125).
Square it (9.765625) and add it to both sides.

Add '9.765625' to each side of the equation.
-6.25n + 9.765625 + n2 = 9 + 9.765625

Reorder the terms:
9.765625 + -6.25n + n2 = 9 + 9.765625

Combine like terms: 9 + 9.765625 = 18.765625
9.765625 + -6.25n + n2 = 18.765625

Factor a perfect square on the left side:
(n + -3.125)(n + -3.125) = 18.765625

Calculate the square root of the right side: 4.331930863

Break this problem into two subproblems by setting 
(n + -3.125) equal to 4.331930863 and -4.331930863.


Subproblem 1
n + -3.125 = 4.331930863

Simplifying
n + -3.125 = 4.331930863

Reorder the terms:
-3.125 + n = 4.331930863

Solving
-3.125 + n = 4.331930863

Solving for variable 'n'.

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

Add '3.125' to each side of the equation.
-3.125 + 3.125 + n = 4.331930863 + 3.125

Combine like terms: -3.125 + 3.125 = 0.000
0.000 + n = 4.331930863 + 3.125
n = 4.331930863 + 3.125

Combine like terms: 4.331930863 + 3.125 = 7.456930863
n = 7.456930863

Simplifying
n = 7.456930863


Subproblem 2
n + -3.125 = -4.331930863

Simplifying
n + -3.125 = -4.331930863

Reorder the terms:
-3.125 + n = -4.331930863

Solving
-3.125 + n = -4.331930863

Solving for variable 'n'.

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

Add '3.125' to each side of the equation.
-3.125 + 3.125 + n = -4.331930863 + 3.125

Combine like terms: -3.125 + 3.125 = 0.000
0.000 + n = -4.331930863 + 3.125
n = -4.331930863 + 3.125

Combine like terms: -4.331930863 + 3.125 = -1.206930863
n = -1.206930863

Simplifying
n = -1.206930863


Solution
The solution to the problem is based on the solutions
from the subproblems.
n = {7.456930863, -1.206930863}
Solution
n = {7.456930863, -1.206930863}

See similar equations:

| 264=(2x-2)*x | | -m+5m-7=-5 | | 8n^2-50n-72=o | | 3n+12=21 | | ln(x+9)=4 | | 20+12=-4(7x-8) | | 2x-3=16x+4 | | X+.08X=1350 | | a^2x^2-y^2= | | 7h+21=35 | | 15=8-5+2 | | -(3y+4)-(-2y-7)=0 | | Factor(y^2+5y-104)=0 | | -7.7*-6=46.2 | | x+.08x=3500 | | -12+4x+3+5x^2=-1+x | | 8b+-2b+3=9 | | 7x=384 | | 9x^9z^3-162x^6yz^2-171x^3y^2z=0 | | x-2+6=4 | | 4y^2+27y+10=0 | | 4m^2+m+5=0 | | x-x/5=40 | | q-5/q+5 | | 384=7x | | 11y^2+27y+10=0 | | 48=48x+51y | | 7/2t=4+7t | | 9(2+x)=135 | | 6j+4j=8.6 | | x+730=8.125 | | P+.08P=10965 |

Equations solver categories