x^2+35x-1109.35=0

Simple and best practice solution for x^2+35x-1109.35=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+35x-1109.35=0 equation:


Simplifying
x2 + 35x + -1109.35 = 0

Reorder the terms:
-1109.35 + 35x + x2 = 0

Solving
-1109.35 + 35x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '1109.35' to each side of the equation.
-1109.35 + 35x + 1109.35 + x2 = 0 + 1109.35

Reorder the terms:
-1109.35 + 1109.35 + 35x + x2 = 0 + 1109.35

Combine like terms: -1109.35 + 1109.35 = 0.00
0.00 + 35x + x2 = 0 + 1109.35
35x + x2 = 0 + 1109.35

Combine like terms: 0 + 1109.35 = 1109.35
35x + x2 = 1109.35

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 = 1109.35 + 306.25

Reorder the terms:
306.25 + 35x + x2 = 1109.35 + 306.25

Combine like terms: 1109.35 + 306.25 = 1415.6
306.25 + 35x + x2 = 1415.6

Factor a perfect square on the left side:
(x + 17.5)(x + 17.5) = 1415.6

Calculate the square root of the right side: 37.624460129

Break this problem into two subproblems by setting 
(x + 17.5) equal to 37.624460129 and -37.624460129.


Subproblem 1
x + 17.5 = 37.624460129

Simplifying
x + 17.5 = 37.624460129

Reorder the terms:
17.5 + x = 37.624460129

Solving
17.5 + x = 37.624460129

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 = 37.624460129 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + x = 37.624460129 + -17.5
x = 37.624460129 + -17.5

Combine like terms: 37.624460129 + -17.5 = 20.124460129
x = 20.124460129

Simplifying
x = 20.124460129


Subproblem 2
x + 17.5 = -37.624460129

Simplifying
x + 17.5 = -37.624460129

Reorder the terms:
17.5 + x = -37.624460129

Solving
17.5 + x = -37.624460129

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 = -37.624460129 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + x = -37.624460129 + -17.5
x = -37.624460129 + -17.5

Combine like terms: -37.624460129 + -17.5 = -55.124460129
x = -55.124460129

Simplifying
x = -55.124460129


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {20.124460129, -55.124460129}

See similar equations:

| (5u-9)(4+u)=0 | | 26n-19=475 | | s=2s+2 | | -4x+14=5x-31 | | 5t+8=4t | | (X+7)5x=(2x+7) | | 2.5y+y= | | 4x-13-10v=12-24v+15 | | 8n+2+14=8 | | X+2x+5=-10 | | 4x-6(8-x)=18 | | 4t^4-20t^3+24t^2=0 | | -6v-13=-24v+17 | | d*2+35d-1109.35=0 | | x+(x-10)=700 | | (10x-14)-5=156 | | -4+12y+9=14+15y-27 | | 6+2c=a | | f(x+3)=9x+5 | | 15y=300 | | 20=-x+16 | | -8-c=c-4c | | 12x+1=-x-1 | | X=2x+30 | | 15x-5=55g | | 432=27x+36y | | 11.7u+17.28=10.5u | | 12s^2-8s+12=0 | | 11-2(9-4)= | | 5x+(-50)=-15 | | -13w-19=-11w+6+9 | | 20p+20=19p+14 |

Equations solver categories