x^2-45x+25=0

Simple and best practice solution for x^2-45x+25=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^2-45x+25=0 equation: 


Simplifying
x2 + -45x + 25 = 0

Reorder the terms:
25 + -45x + x2 = 0

Solving
25 + -45x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -45x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + -45x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -45x + x2 = 0 + -25
-45x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-45x + x2 = -25

The x term is -45x.  Take half its coefficient (-22.5).
Square it (506.25) and add it to both sides.

Add '506.25' to each side of the equation.
-45x + 506.25 + x2 = -25 + 506.25

Reorder the terms:
506.25 + -45x + x2 = -25 + 506.25

Combine like terms: -25 + 506.25 = 481.25
506.25 + -45x + x2 = 481.25

Factor a perfect square on the left side:
(x + -22.5)(x + -22.5) = 481.25

Calculate the square root of the right side: 21.937410968

Break this problem into two subproblems by setting 
(x + -22.5) equal to 21.937410968 and -21.937410968.


Subproblem 1
x + -22.5 = 21.937410968

Simplifying
x + -22.5 = 21.937410968

Reorder the terms:
-22.5 + x = 21.937410968

Solving
-22.5 + x = 21.937410968

Solving for variable 'x'.

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

Add '22.5' to each side of the equation.
-22.5 + 22.5 + x = 21.937410968 + 22.5

Combine like terms: -22.5 + 22.5 = 0.0
0.0 + x = 21.937410968 + 22.5
x = 21.937410968 + 22.5

Combine like terms: 21.937410968 + 22.5 = 44.437410968
x = 44.437410968

Simplifying
x = 44.437410968


Subproblem 2
x + -22.5 = -21.937410968

Simplifying
x + -22.5 = -21.937410968

Reorder the terms:
-22.5 + x = -21.937410968

Solving
-22.5 + x = -21.937410968

Solving for variable 'x'.

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

Add '22.5' to each side of the equation.
-22.5 + 22.5 + x = -21.937410968 + 22.5

Combine like terms: -22.5 + 22.5 = 0.0
0.0 + x = -21.937410968 + 22.5
x = -21.937410968 + 22.5

Combine like terms: -21.937410968 + 22.5 = 0.562589032
x = 0.562589032

Simplifying
x = 0.562589032


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {44.437410968, 0.562589032}

See similar equations:

| 4x(x^2+7)=0 | | p=-1 | | sqrtm-6=0 | | 8x-5yi=8+25i | | In(x^3-3x^2)-In(x)=In(3x^2-5x) | | t^4-15t^2+50=0 | | -5=-3x-26 | | x=sqrt(-x+6) | | 2L(-2W+5)=112 | | y=(x-6)2+3 | | 49=5y+-26 | | x^2-2x+320=0 | | 2x^3+x^2-13x-6=0 | | y=-.49(5)+35.4 | | h-6+7h=4 | | -.49x+35.4=-.83x+37.1 | | 320+80x=7920 | | 3(5x-4)=8x+4 | | 3(x+2)-5(2x+1)=21 | | 10w+4=34 | | 9+6+n=26 | | 3(2h+12)=66 | | 4v^2+v=3 | | qwertyuiopasdfghjklzxcvbnm=1 | | Log(4x-1)=2 | | Log(4x-1)=2 | | x^4+ax^2-1=0 | | a+b-c=4832973783689 | | y^2-4y-2x+6=0 | | 27(2x-1)=3 | | x=x^2-8 | | 27.2x-1=3 |

Equations solver categories