x^2-16-5x=0

Simple and best practice solution for x^2-16-5x=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 x^2-16-5x=0 equation: 


Simplifying
x2 + -16 + -5x = 0

Reorder the terms:
-16 + -5x + x2 = 0

Solving
-16 + -5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '16' to each side of the equation.
-16 + -5x + 16 + x2 = 0 + 16

Reorder the terms:
-16 + 16 + -5x + x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -5x + x2 = 0 + 16
-5x + x2 = 0 + 16

Combine like terms: 0 + 16 = 16
-5x + x2 = 16

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = 16 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 16 + 6.25

Combine like terms: 16 + 6.25 = 22.25
6.25 + -5x + x2 = 22.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 22.25

Calculate the square root of the right side: 4.716990566

Break this problem into two subproblems by setting 
(x + -2.5) equal to 4.716990566 and -4.716990566.


Subproblem 1
x + -2.5 = 4.716990566

Simplifying
x + -2.5 = 4.716990566

Reorder the terms:
-2.5 + x = 4.716990566

Solving
-2.5 + x = 4.716990566

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = 4.716990566 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 4.716990566 + 2.5
x = 4.716990566 + 2.5

Combine like terms: 4.716990566 + 2.5 = 7.216990566
x = 7.216990566

Simplifying
x = 7.216990566


Subproblem 2
x + -2.5 = -4.716990566

Simplifying
x + -2.5 = -4.716990566

Reorder the terms:
-2.5 + x = -4.716990566

Solving
-2.5 + x = -4.716990566

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = -4.716990566 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -4.716990566 + 2.5
x = -4.716990566 + 2.5

Combine like terms: -4.716990566 + 2.5 = -2.216990566
x = -2.216990566

Simplifying
x = -2.216990566


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.216990566, -2.216990566}

See similar equations:

| (.6p)+(p^2)=.91 | | -1-8a=-1 | | 14-x/2 | | x^5-8x^4-11x^3-6x^2=0 | | -5t=1 | | 4/2x-2=2/x | | 3y+13=100 | | 6z-8=-5 | | 6x+8=9y | | y-5=3/4(x-4) | | 52-260= | | 2(6-5r)=-8 | | (b-4)(b+5)=0 | | x^2+5k=kx+x+19 | | 3x+1-x=0 | | y-5=0.75(x-4) | | 70x^2-268x=5x-245 | | 260/5 | | ax^2+-4ax+4a-5=0 | | -15p-20=4p-64 | | -51=-8x | | 30m^2+45m+25=5m^2+7 | | 12*12+9*9=x | | 3x-5=-3x+7 | | log(3)(x+5)=6 | | -12=x^2+4x+4 | | 7x+35=5x+45 | | .037= | | a7/7 | | 6*6*6*6=x | | (p-4)(p-3)=0 | | 3(-1/2)^2 |

Equations solver categories