x^2-235x+548=0

Simple and best practice solution for x^2-235x+548=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^2-235x+548=0 equation: 


Simplifying
x2 + -235x + 548 = 0

Reorder the terms:
548 + -235x + x2 = 0

Solving
548 + -235x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-548' to each side of the equation.
548 + -235x + -548 + x2 = 0 + -548

Reorder the terms:
548 + -548 + -235x + x2 = 0 + -548

Combine like terms: 548 + -548 = 0
0 + -235x + x2 = 0 + -548
-235x + x2 = 0 + -548

Combine like terms: 0 + -548 = -548
-235x + x2 = -548

The x term is -235x.  Take half its coefficient (-117.5).
Square it (13806.25) and add it to both sides.

Add '13806.25' to each side of the equation.
-235x + 13806.25 + x2 = -548 + 13806.25

Reorder the terms:
13806.25 + -235x + x2 = -548 + 13806.25

Combine like terms: -548 + 13806.25 = 13258.25
13806.25 + -235x + x2 = 13258.25

Factor a perfect square on the left side:
(x + -117.5)(x + -117.5) = 13258.25

Calculate the square root of the right side: 115.144474466

Break this problem into two subproblems by setting 
(x + -117.5) equal to 115.144474466 and -115.144474466.


Subproblem 1
x + -117.5 = 115.144474466

Simplifying
x + -117.5 = 115.144474466

Reorder the terms:
-117.5 + x = 115.144474466

Solving
-117.5 + x = 115.144474466

Solving for variable 'x'.

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

Add '117.5' to each side of the equation.
-117.5 + 117.5 + x = 115.144474466 + 117.5

Combine like terms: -117.5 + 117.5 = 0.0
0.0 + x = 115.144474466 + 117.5
x = 115.144474466 + 117.5

Combine like terms: 115.144474466 + 117.5 = 232.644474466
x = 232.644474466

Simplifying
x = 232.644474466


Subproblem 2
x + -117.5 = -115.144474466

Simplifying
x + -117.5 = -115.144474466

Reorder the terms:
-117.5 + x = -115.144474466

Solving
-117.5 + x = -115.144474466

Solving for variable 'x'.

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

Add '117.5' to each side of the equation.
-117.5 + 117.5 + x = -115.144474466 + 117.5

Combine like terms: -117.5 + 117.5 = 0.0
0.0 + x = -115.144474466 + 117.5
x = -115.144474466 + 117.5

Combine like terms: -115.144474466 + 117.5 = 2.355525534
x = 2.355525534

Simplifying
x = 2.355525534


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {232.644474466, 2.355525534}

See similar equations:

| x^2+8x-345=0 | | 270=-w+25 | | -(12-7c)=4(2c-5) | | 30(80-9x)=x-96 | | a-3+6a=18 | | x^2-235x=-548 | | 20x^2+17x-24= | | 3r+p=-8 | | 6x^4-9x^2+3=0 | | 6x^4-9x^2=3 | | 168-y=273 | | 2d^2+6d-216=0 | | 3(f+20)+20=12(f-5)+f | | 6x^3+4x^2-2x= | | 16=m+4+3m | | 2x^4-5x^3+3=0 | | x-0.5y=10 | | 268-y=273 | | 4y^2-3y=0 | | 9+(.5)x=14 | | m-1=8-5(m-1) | | 32g+245=3829 | | xy+x+xy= | | 98=158-v | | 2x+x-8=7 | | 32x=2000 | | 5+1.50x=15.50 | | 4b^2+29b+45=0 | | X+6=2x+12 | | d+bx=ax+c | | 6xy+-8xy= | | 5+0.50x=11.50 |

Equations solver categories