x^2-180+5x=0

Simple and best practice solution for x^2-180+5x=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^2-180+5x=0 equation: 


Simplifying
x2 + -180 + 5x = 0

Reorder the terms:
-180 + 5x + x2 = 0

Solving
-180 + 5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '180' to each side of the equation.
-180 + 5x + 180 + x2 = 0 + 180

Reorder the terms:
-180 + 180 + 5x + x2 = 0 + 180

Combine like terms: -180 + 180 = 0
0 + 5x + x2 = 0 + 180
5x + x2 = 0 + 180

Combine like terms: 0 + 180 = 180
5x + x2 = 180

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 = 180 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 180 + 6.25

Combine like terms: 180 + 6.25 = 186.25
6.25 + 5x + x2 = 186.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 186.25

Calculate the square root of the right side: 13.647344064

Break this problem into two subproblems by setting 
(x + 2.5) equal to 13.647344064 and -13.647344064.


Subproblem 1
x + 2.5 = 13.647344064

Simplifying
x + 2.5 = 13.647344064

Reorder the terms:
2.5 + x = 13.647344064

Solving
2.5 + x = 13.647344064

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 = 13.647344064 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 13.647344064 + -2.5
x = 13.647344064 + -2.5

Combine like terms: 13.647344064 + -2.5 = 11.147344064
x = 11.147344064

Simplifying
x = 11.147344064


Subproblem 2
x + 2.5 = -13.647344064

Simplifying
x + 2.5 = -13.647344064

Reorder the terms:
2.5 + x = -13.647344064

Solving
2.5 + x = -13.647344064

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 = -13.647344064 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -13.647344064 + -2.5
x = -13.647344064 + -2.5

Combine like terms: -13.647344064 + -2.5 = -16.147344064
x = -16.147344064

Simplifying
x = -16.147344064


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {11.147344064, -16.147344064}

See similar equations:

| 21s=4+15s | | 14r-12s/4s-10s | | 3x-9=2(x+3) | | 0=-4.9t^2+18t | | 10-5x=7x-86 | | 12m-24=0 | | x-8=41-6x | | 2(w-1)=4w+1-5(-2w-1) | | 3/4y=-7/12 | | (-16)t^2+30t-12=0 | | 5(2x-4)=12x-2x+3 | | 10(2x+3y)= | | 1/2(3)(4)= | | 75x^2-9=-30x | | 4×5/7×35 | | 20x+50=0 | | 7x+2=7(x+2) | | 6x-4=-7x-4 | | 3/5(x-19=-15 | | (8x+5)+9x-13=127 | | 9m=3m+4 | | x+3-2x+5=19 | | 2g-37=497 | | 2(2w+6)+2(w+4)=74 | | 1/5(285-10e) | | 3(7-n)=4n-7 | | 6y-5=14y+67 | | c/10.44-2.9=-4.422 | | 7=m+14 | | n+(-7n)+n+n+n= | | 3x-1.7=0.88 | | 8.2r+5.514=158.234 |

Equations solver categories