x^2+-5x-64=0

Simple and best practice solution for x^2+-5x-64=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+-5x-64=0 equation: 


Simplifying
x2 + -5x + -64 = 0

Reorder the terms:
-64 + -5x + x2 = 0

Solving
-64 + -5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '64' to each side of the equation.
-64 + -5x + 64 + x2 = 0 + 64

Reorder the terms:
-64 + 64 + -5x + x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + -5x + x2 = 0 + 64
-5x + x2 = 0 + 64

Combine like terms: 0 + 64 = 64
-5x + x2 = 64

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 = 64 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 64 + 6.25

Combine like terms: 64 + 6.25 = 70.25
6.25 + -5x + x2 = 70.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 70.25

Calculate the square root of the right side: 8.381527307

Break this problem into two subproblems by setting 
(x + -2.5) equal to 8.381527307 and -8.381527307.


Subproblem 1
x + -2.5 = 8.381527307

Simplifying
x + -2.5 = 8.381527307

Reorder the terms:
-2.5 + x = 8.381527307

Solving
-2.5 + x = 8.381527307

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 = 8.381527307 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 8.381527307 + 2.5
x = 8.381527307 + 2.5

Combine like terms: 8.381527307 + 2.5 = 10.881527307
x = 10.881527307

Simplifying
x = 10.881527307


Subproblem 2
x + -2.5 = -8.381527307

Simplifying
x + -2.5 = -8.381527307

Reorder the terms:
-2.5 + x = -8.381527307

Solving
-2.5 + x = -8.381527307

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 = -8.381527307 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -8.381527307 + 2.5
x = -8.381527307 + 2.5

Combine like terms: -8.381527307 + 2.5 = -5.881527307
x = -5.881527307

Simplifying
x = -5.881527307


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.881527307, -5.881527307}

See similar equations:

| 1-7/a=8 | | 259-x=14(12) | | -20y-(-6y-14)=26+(26y+5) | | 210/x=101-86 | | x+70=560+70 | | 7a+10=29 | | 24x^9y^6/42x^9y | | 4x+3.5=-3x+4.1 | | 66a^6-22a^8=0 | | x+(x+70)=1190 | | X/9=32 | | 62/36.06 | | 36x+32=392 | | 30=-8w+3(w-5) | | 6x-x+12-9= | | 3+-5= | | -2(4+6x)+5=9 | | x+(x+70)=730 | | 2(-6x+10)=-4 | | 4c^2+27c+35= | | 829/621.75 | | x-8sqx+16=0 | | 1-9/7x=5/2 | | 3(-3x+9)=-36 | | 5-9x=-301 | | 2(x^4+50)=0 | | 17x^2-64x-169=0 | | 6c^2=9+15c | | 9x+8=7.5x+16 | | 9x+1.4=4x+9 | | w^2-9w+18= | | x+(x+59)=793 |

Equations solver categories