x^2+5x-35=0

Simple and best practice solution for x^2+5x-35=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-35=0 equation: 


Simplifying
x2 + 5x + -35 = 0

Reorder the terms:
-35 + 5x + x2 = 0

Solving
-35 + 5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '35' to each side of the equation.
-35 + 5x + 35 + x2 = 0 + 35

Reorder the terms:
-35 + 35 + 5x + x2 = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 5x + x2 = 0 + 35
5x + x2 = 0 + 35

Combine like terms: 0 + 35 = 35
5x + x2 = 35

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 = 35 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 35 + 6.25

Combine like terms: 35 + 6.25 = 41.25
6.25 + 5x + x2 = 41.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 41.25

Calculate the square root of the right side: 6.422616289

Break this problem into two subproblems by setting 
(x + 2.5) equal to 6.422616289 and -6.422616289.


Subproblem 1
x + 2.5 = 6.422616289

Simplifying
x + 2.5 = 6.422616289

Reorder the terms:
2.5 + x = 6.422616289

Solving
2.5 + x = 6.422616289

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 = 6.422616289 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 6.422616289 + -2.5
x = 6.422616289 + -2.5

Combine like terms: 6.422616289 + -2.5 = 3.922616289
x = 3.922616289

Simplifying
x = 3.922616289


Subproblem 2
x + 2.5 = -6.422616289

Simplifying
x + 2.5 = -6.422616289

Reorder the terms:
2.5 + x = -6.422616289

Solving
2.5 + x = -6.422616289

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 = -6.422616289 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -6.422616289 + -2.5
x = -6.422616289 + -2.5

Combine like terms: -6.422616289 + -2.5 = -8.922616289
x = -8.922616289

Simplifying
x = -8.922616289


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.922616289, -8.922616289}

See similar equations:

| 5x-8=6x | | 3(6-4x)=2(-6x-19) | | (12x^2)-200x+625=0 | | 4(4-2d)=1-3d | | (4x^3)-(100x^2)+625x=0 | | 4x-1=-25 | | 3w-7=9-3w | | 9-8x=57-36x | | x+-4.9=6.1 | | x*x*x*4+2*x=5 | | x/3+21=10 | | 12x-223=3x-7 | | x/(-3)=24 | | 39-4x=5x+18 | | 6cx(-c)= | | 6ctimes(-c)= | | (4g)(4g)xg= | | 2-3n=5 | | 3x/2-5=13 | | -3(x+9)=22 | | -2a+b-4a-3b= | | 2r-6=3-r | | 8d-5=15-2d | | 4x+11=91+4x | | 12X=25+8.33+X | | 3x-6=12x | | 8-9x=96+x | | 5x+30=12x-40 | | 3y+4(2y+1)-(5y-1-5)=9 | | 5X=25+8.33+X | | 5X=25+X+4 | | 5X=25+X+4X |

Equations solver categories