x^2-5x-118=0

Simple and best practice solution for x^2-5x-118=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-118=0 equation: 


Simplifying
x2 + -5x + -118 = 0

Reorder the terms:
-118 + -5x + x2 = 0

Solving
-118 + -5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '118' to each side of the equation.
-118 + -5x + 118 + x2 = 0 + 118

Reorder the terms:
-118 + 118 + -5x + x2 = 0 + 118

Combine like terms: -118 + 118 = 0
0 + -5x + x2 = 0 + 118
-5x + x2 = 0 + 118

Combine like terms: 0 + 118 = 118
-5x + x2 = 118

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 = 118 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 118 + 6.25

Combine like terms: 118 + 6.25 = 124.25
6.25 + -5x + x2 = 124.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 124.25

Calculate the square root of the right side: 11.146748405

Break this problem into two subproblems by setting 
(x + -2.5) equal to 11.146748405 and -11.146748405.


Subproblem 1
x + -2.5 = 11.146748405

Simplifying
x + -2.5 = 11.146748405

Reorder the terms:
-2.5 + x = 11.146748405

Solving
-2.5 + x = 11.146748405

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 = 11.146748405 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 11.146748405 + 2.5
x = 11.146748405 + 2.5

Combine like terms: 11.146748405 + 2.5 = 13.646748405
x = 13.646748405

Simplifying
x = 13.646748405


Subproblem 2
x + -2.5 = -11.146748405

Simplifying
x + -2.5 = -11.146748405

Reorder the terms:
-2.5 + x = -11.146748405

Solving
-2.5 + x = -11.146748405

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 = -11.146748405 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -11.146748405 + 2.5
x = -11.146748405 + 2.5

Combine like terms: -11.146748405 + 2.5 = -8.646748405
x = -8.646748405

Simplifying
x = -8.646748405


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {13.646748405, -8.646748405}

See similar equations:

| ln(2x-3)+ln(x-2)=2lnx | | 2y^2+9y-5=0 | | x+x-39=375 | | 12y+8=32 | | 2x+500=5x | | 3(5-2b)-4b= | | 0=x^2+12x+3 | | 40-2x=6x+12 | | x^2-8x-8y-24=0 | | -12p-3(5-6p)=2(p-3)-37 | | 5(6+y)-2= | | 3x+500=5x | | 5+y=13-2(y+1) | | 11x+15x-8+5=-8+5-8 | | 10x-5y=100 | | 3.1(7x-0.3)= | | 2-3z=14 | | 5w^2+13w+6=0 | | 7x=10x-450.000 | | 7x=11x-36 | | 4(5y-6)= | | 7(y-8)=-3(6+y) | | d+6(d+4)+5d=14 | | 7(y-8)=3(6+y) | | 27x^3-4=0 | | -[8z-(19z+3)]=3+(10z+9) | | -11p-4(4-5p)=5(p-6)-10 | | X=5909.09+0.10x | | X-.10x=5909.09 | | X-.10x=5909 | | 11x+18x-9+1=-3x+1-9 | | 9x-(5x-17)=53 |

Equations solver categories