x^2-3.6x+3=0

Simple and best practice solution for x^2-3.6x+3=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^2-3.6x+3=0 equation: 


Simplifying
x2 + -3.6x + 3 = 0

Reorder the terms:
3 + -3.6x + x2 = 0

Solving
3 + -3.6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -3.6x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -3.6x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3.6x + x2 = 0 + -3
-3.6x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-3.6x + x2 = -3

The x term is -3.6x.  Take half its coefficient (-1.8).
Square it (3.24) and add it to both sides.

Add '3.24' to each side of the equation.
-3.6x + 3.24 + x2 = -3 + 3.24

Reorder the terms:
3.24 + -3.6x + x2 = -3 + 3.24

Combine like terms: -3 + 3.24 = 0.24
3.24 + -3.6x + x2 = 0.24

Factor a perfect square on the left side:
(x + -1.8)(x + -1.8) = 0.24

Calculate the square root of the right side: 0.489897949

Break this problem into two subproblems by setting 
(x + -1.8) equal to 0.489897949 and -0.489897949.


Subproblem 1
x + -1.8 = 0.489897949

Simplifying
x + -1.8 = 0.489897949

Reorder the terms:
-1.8 + x = 0.489897949

Solving
-1.8 + x = 0.489897949

Solving for variable 'x'.

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

Add '1.8' to each side of the equation.
-1.8 + 1.8 + x = 0.489897949 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + x = 0.489897949 + 1.8
x = 0.489897949 + 1.8

Combine like terms: 0.489897949 + 1.8 = 2.289897949
x = 2.289897949

Simplifying
x = 2.289897949


Subproblem 2
x + -1.8 = -0.489897949

Simplifying
x + -1.8 = -0.489897949

Reorder the terms:
-1.8 + x = -0.489897949

Solving
-1.8 + x = -0.489897949

Solving for variable 'x'.

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

Add '1.8' to each side of the equation.
-1.8 + 1.8 + x = -0.489897949 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + x = -0.489897949 + 1.8
x = -0.489897949 + 1.8

Combine like terms: -0.489897949 + 1.8 = 1.310102051
x = 1.310102051

Simplifying
x = 1.310102051


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.289897949, 1.310102051}

See similar equations:

| lg(x-2)=1 | | .3(6a-4)=.10(2a-8) | | 18a-12=2a-8 | | 20j+1=18j+7 | | -3+3n=-3 | | 3+3b=-9 | | 15g+22=10g+77 | | 1+4m=-23 | | 17a-99=a+93 | | -3+2m=-5 | | 3*lgx=lg*10 | | 3(5)+5y=5 | | 27f-63=3f+57 | | x^2-y^2+14y-49= | | F(5)=5-13 | | -4-p=0 | | 4/5b-9=13 | | 47c-79=15c+81 | | 3v-5=-35 | | -3(6+x)=-45 | | 3y^3(4y+1)(y-6)= | | 64.4=7(m+2.6) | | 25q+98=40q+83 | | 490=(14)(h)(5) | | 5(3x-9)=6(5x-20) | | 56w+10=69w-42 | | log(3x+1)+log(6x-1)=log(9x-1) | | .258/.123 | | 4q-96=q+33 | | 8=a+3+3 | | 2*ln*2=0 | | 3c+15=c+63 |

Equations solver categories