x^2+5x-687=0

Simple and best practice solution for x^2+5x-687=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-687=0 equation: 


Simplifying
x2 + 5x + -687 = 0

Reorder the terms:
-687 + 5x + x2 = 0

Solving
-687 + 5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '687' to each side of the equation.
-687 + 5x + 687 + x2 = 0 + 687

Reorder the terms:
-687 + 687 + 5x + x2 = 0 + 687

Combine like terms: -687 + 687 = 0
0 + 5x + x2 = 0 + 687
5x + x2 = 0 + 687

Combine like terms: 0 + 687 = 687
5x + x2 = 687

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 = 687 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 687 + 6.25

Combine like terms: 687 + 6.25 = 693.25
6.25 + 5x + x2 = 693.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 693.25

Calculate the square root of the right side: 26.329641091

Break this problem into two subproblems by setting 
(x + 2.5) equal to 26.329641091 and -26.329641091.


Subproblem 1
x + 2.5 = 26.329641091

Simplifying
x + 2.5 = 26.329641091

Reorder the terms:
2.5 + x = 26.329641091

Solving
2.5 + x = 26.329641091

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 = 26.329641091 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 26.329641091 + -2.5
x = 26.329641091 + -2.5

Combine like terms: 26.329641091 + -2.5 = 23.829641091
x = 23.829641091

Simplifying
x = 23.829641091


Subproblem 2
x + 2.5 = -26.329641091

Simplifying
x + 2.5 = -26.329641091

Reorder the terms:
2.5 + x = -26.329641091

Solving
2.5 + x = -26.329641091

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 = -26.329641091 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -26.329641091 + -2.5
x = -26.329641091 + -2.5

Combine like terms: -26.329641091 + -2.5 = -28.829641091
x = -28.829641091

Simplifying
x = -28.829641091


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {23.829641091, -28.829641091}

See similar equations:

| 6+3(x-1)=2x | | -16=6c-8-2c | | X+(2x+4)=22 | | (9x)^4/3-(10x)^2/3+1=0 | | -21x^2+4x=0 | | 7x+x=3.00 | | x+3+x+3=11 | | 2.5*n=45 | | (k+2)(k+5)=0 | | 79/16=x | | 5-5(-7x-2)=225 | | (6y^2)(2v)= | | 18s=19.86+16.3s | | y-y/y+1/2 | | 7+2(x-1)=x | | 2(x+3)=3(x-4)-5(x-1) | | 9x+3x-10=9x+3x | | -7/9=p/18 | | -2(2w+3)=3 | | 3*(x+4)=18+x | | 5x/2+12 | | -10r+6=-13r | | 13=5-2/3y | | 6(x+6/8)-8 | | (4a+5)(5a+2)=0 | | -9.1=-3.5f | | 3v+14v+15=0 | | {-4,0,4}= | | (x/12)+(x+13) | | 6(7-d)+d=36+d | | 4k-2(3-2k)=10 | | X+2x+4=22 |

Equations solver categories