x^2-5x-25=0

Simple and best practice solution for x^2-5x-25=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-25=0 equation: 


Simplifying
x2 + -5x + -25 = 0

Reorder the terms:
-25 + -5x + x2 = 0

Solving
-25 + -5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '25' to each side of the equation.
-25 + -5x + 25 + x2 = 0 + 25

Reorder the terms:
-25 + 25 + -5x + x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -5x + x2 = 0 + 25
-5x + x2 = 0 + 25

Combine like terms: 0 + 25 = 25
-5x + x2 = 25

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 = 25 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 25 + 6.25

Combine like terms: 25 + 6.25 = 31.25
6.25 + -5x + x2 = 31.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 31.25

Calculate the square root of the right side: 5.590169944

Break this problem into two subproblems by setting 
(x + -2.5) equal to 5.590169944 and -5.590169944.


Subproblem 1
x + -2.5 = 5.590169944

Simplifying
x + -2.5 = 5.590169944

Reorder the terms:
-2.5 + x = 5.590169944

Solving
-2.5 + x = 5.590169944

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 = 5.590169944 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 5.590169944 + 2.5
x = 5.590169944 + 2.5

Combine like terms: 5.590169944 + 2.5 = 8.090169944
x = 8.090169944

Simplifying
x = 8.090169944


Subproblem 2
x + -2.5 = -5.590169944

Simplifying
x + -2.5 = -5.590169944

Reorder the terms:
-2.5 + x = -5.590169944

Solving
-2.5 + x = -5.590169944

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 = -5.590169944 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -5.590169944 + 2.5
x = -5.590169944 + 2.5

Combine like terms: -5.590169944 + 2.5 = -3.090169944
x = -3.090169944

Simplifying
x = -3.090169944


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.090169944, -3.090169944}

See similar equations:

| 0.9(2x-1)(1+x)=0.2(x)(1-x) | | (Y+1)(y+1)= | | 2v-3+2(2v+3)=-3(v+3) | | 3x^2+1=y | | 3m-n+2m+n= | | 8a^2+72a+144=0 | | 7x(x-1)=(2x+1)(x-1) | | n/16=-15 | | 2g+10=28 | | 4n^2=10n+14 | | 4(z+2)=2(4-z)+42 | | 5/6=45/n | | 3m^2+10=3m | | 2(x+3)-5x=-24 | | 3m^2+36m+105=0 | | 2x^4-7x^3+1=0 | | n/104=5/13 | | 9/14=x/700 | | 10(3x-4)=-100 | | n=16-15 | | 3(y-5)-9=-5(-5y+4)-6y | | 3r^2-21r+18=0 | | log(x)+log(x+4)=log(8x) | | 24-x=3+6(x+7) | | 11x^2=2x+18 | | 3(u+9)=-2(6u-6)+9u | | 57a-19a^3= | | 4w^2=0 | | 2n+9=63 | | 5h-6-8+6h= | | x^3-2ix^2+3x=0 | | 6m+-m= |

Equations solver categories