x^2+35x-320=0

Simple and best practice solution for x^2+35x-320=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+35x-320=0 equation:


Simplifying
x2 + 35x + -320 = 0

Reorder the terms:
-320 + 35x + x2 = 0

Solving
-320 + 35x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '320' to each side of the equation.
-320 + 35x + 320 + x2 = 0 + 320

Reorder the terms:
-320 + 320 + 35x + x2 = 0 + 320

Combine like terms: -320 + 320 = 0
0 + 35x + x2 = 0 + 320
35x + x2 = 0 + 320

Combine like terms: 0 + 320 = 320
35x + x2 = 320

The x term is 35x.  Take half its coefficient (17.5).
Square it (306.25) and add it to both sides.

Add '306.25' to each side of the equation.
35x + 306.25 + x2 = 320 + 306.25

Reorder the terms:
306.25 + 35x + x2 = 320 + 306.25

Combine like terms: 320 + 306.25 = 626.25
306.25 + 35x + x2 = 626.25

Factor a perfect square on the left side:
(x + 17.5)(x + 17.5) = 626.25

Calculate the square root of the right side: 25.024987512

Break this problem into two subproblems by setting 
(x + 17.5) equal to 25.024987512 and -25.024987512.


Subproblem 1
x + 17.5 = 25.024987512

Simplifying
x + 17.5 = 25.024987512

Reorder the terms:
17.5 + x = 25.024987512

Solving
17.5 + x = 25.024987512

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-17.5' to each side of the equation.
17.5 + -17.5 + x = 25.024987512 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + x = 25.024987512 + -17.5
x = 25.024987512 + -17.5

Combine like terms: 25.024987512 + -17.5 = 7.524987512
x = 7.524987512

Simplifying
x = 7.524987512


Subproblem 2
x + 17.5 = -25.024987512

Simplifying
x + 17.5 = -25.024987512

Reorder the terms:
17.5 + x = -25.024987512

Solving
17.5 + x = -25.024987512

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-17.5' to each side of the equation.
17.5 + -17.5 + x = -25.024987512 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + x = -25.024987512 + -17.5
x = -25.024987512 + -17.5

Combine like terms: -25.024987512 + -17.5 = -42.524987512
x = -42.524987512

Simplifying
x = -42.524987512


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.524987512, -42.524987512}

See similar equations:

| x^3+x^2-36x-36=0 | | 3u^4-2y^2=0 | | 3(4x+1)=48.5-x | | x=6x-15 | | 2x^2-100x+2500=0 | | 13x+9y=5 | | 3(x+1)=5x-2 | | 19+x=-17 | | 3u^4y^2-3y^2=0 | | 9(y-7)=8(x-7) | | 3x+216=5x | | 20a^2+25a=0 | | Z=VQJ | | V=ZQJ | | 1/2(x+10)=1/3(x+4) | | 2.1x+14=1.4x+2 | | 2-(5x^2+7x)=0 | | p-23p= | | -4(4y-9)+2(3y+5)= | | n=0.04x-79.04 | | x-8.3=-5.9 | | -4k+5k-3+3k= | | 6x(5x+1)=0 | | p+27=14 | | 5x+4=22 | | 20r+s+10r+10s= | | 63x^2+168x+112= | | 16y-4=10y+8 | | 9a-8(a+6)=10 | | 2(5k+3)-15k+8+3= | | 1x=40.25/25 | | 20u=v |

Equations solver categories