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:

| -40x-10y=20 | | b^3+2b-1=2 | | 2.5+0.2x=8.7 | | 3x+50=8x | | 1=10a | | 13/3.25 | | 1+1+2(d+1)=3+8(b+9) | | 9x+4-4x=10+4x+5 | | 4k^2-16k-3=-3 | | 2(4-(x-1)+3x)=-18 | | 8/40 | | 16=6n-7n | | X-2/5=22 | | 164=5(8-4x)+4 | | -3w+6=2w-9 | | 75x+25=100 | | 18-(-7)-12= | | P+8=-5p-10 | | 10y+10x=40 | | 2x/3-4(x/5-1/6)=1/15 | | 2x20/5 | | 8x+3+2x=103 | | -165=15x | | 2(4w+2)+2w=54 | | -4h=1 | | 4K-21=11 | | You=thankyou | | 8x+1.7=6x+0.1 | | y=-4.71x+12.63 | | 15x+20=2x+20 | | -4-9w+10w=5-8w | | -.5(32)*x^2+64(x)+0=60 |

Equations solver categories