x(x)-5x-5=0

Simple and best practice solution for x(x)-5x-5=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(x)-5x-5=0 equation:


Simplifying
x(x) + -5x + -5 = 0

Multiply x * x
x2 + -5x + -5 = 0

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

Solving
-5 + -5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

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

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

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

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

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 = 5 + 6.25

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

Combine like terms: 5 + 6.25 = 11.25
6.25 + -5x + x2 = 11.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 11.25

Calculate the square root of the right side: 3.354101966

Break this problem into two subproblems by setting 
(x + -2.5) equal to 3.354101966 and -3.354101966.


Subproblem 1
x + -2.5 = 3.354101966

Simplifying
x + -2.5 = 3.354101966

Reorder the terms:
-2.5 + x = 3.354101966

Solving
-2.5 + x = 3.354101966

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 = 3.354101966 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 3.354101966 + 2.5
x = 3.354101966 + 2.5

Combine like terms: 3.354101966 + 2.5 = 5.854101966
x = 5.854101966

Simplifying
x = 5.854101966


Subproblem 2
x + -2.5 = -3.354101966

Simplifying
x + -2.5 = -3.354101966

Reorder the terms:
-2.5 + x = -3.354101966

Solving
-2.5 + x = -3.354101966

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 = -3.354101966 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -3.354101966 + 2.5
x = -3.354101966 + 2.5

Combine like terms: -3.354101966 + 2.5 = -0.854101966
x = -0.854101966

Simplifying
x = -0.854101966


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.854101966, -0.854101966}

See similar equations:

| 6x+80=8x | | 4v+16=-4(v+4) | | 18=2x+3-x+6 | | 333333+g=72 | | 5x=-84.05 | | 0.20(y-9)+0.12y=0.02y-1.5 | | X-17=520 | | -4(6y-6)-y=-2(y-4) | | x(x)-5x-3=2 | | 14-18x=0 | | 5x+6=-48+-4x | | 2x^2-25x-72= | | 26x+17=5(5x+1) | | 9x^2+8x-9=8x | | 4x-4-8y+8-5y= | | 2x+3y=5x-2y-4y | | 15+5c-2=29 | | 38+[23-(13+10)]= | | 5x+6=48-4x | | y*y=36 | | 1000x=(1000x-1x) | | 3m+g=2k | | 0.4y+0.7=0.2-0.1y | | -2k-3=19 | | 6x-5+1=-13 | | -7=-8 | | 198=90+x+5x | | 3x-([-5x]-11)=(-197) | | 5y+8=38 | | S=2(pie)rh | | 7(a+1)-3a=5+4(a-1)2 | | 2x+y=(-9) |

Equations solver categories