x^2-0.9x+0.2=0

Simple and best practice solution for x^2-0.9x+0.2=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^2-0.9x+0.2=0 equation: 


Simplifying
x2 + -0.9x + 0.2 = 0

Reorder the terms:
0.2 + -0.9x + x2 = 0

Solving
0.2 + -0.9x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -0.9x + -0.2 + x2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -0.9x + x2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.9x + x2 = 0 + -0.2
-0.9x + x2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.9x + x2 = -0.2

The x term is -0.9x.  Take half its coefficient (-0.45).
Square it (0.2025) and add it to both sides.

Add '0.2025' to each side of the equation.
-0.9x + 0.2025 + x2 = -0.2 + 0.2025

Reorder the terms:
0.2025 + -0.9x + x2 = -0.2 + 0.2025

Combine like terms: -0.2 + 0.2025 = 0.0025
0.2025 + -0.9x + x2 = 0.0025

Factor a perfect square on the left side:
(x + -0.45)(x + -0.45) = 0.0025

Calculate the square root of the right side: 0.05

Break this problem into two subproblems by setting 
(x + -0.45) equal to 0.05 and -0.05.


Subproblem 1
x + -0.45 = 0.05

Simplifying
x + -0.45 = 0.05

Reorder the terms:
-0.45 + x = 0.05

Solving
-0.45 + x = 0.05

Solving for variable 'x'.

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

Add '0.45' to each side of the equation.
-0.45 + 0.45 + x = 0.05 + 0.45

Combine like terms: -0.45 + 0.45 = 0.00
0.00 + x = 0.05 + 0.45
x = 0.05 + 0.45

Combine like terms: 0.05 + 0.45 = 0.5
x = 0.5

Simplifying
x = 0.5


Subproblem 2
x + -0.45 = -0.05

Simplifying
x + -0.45 = -0.05

Reorder the terms:
-0.45 + x = -0.05

Solving
-0.45 + x = -0.05

Solving for variable 'x'.

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

Add '0.45' to each side of the equation.
-0.45 + 0.45 + x = -0.05 + 0.45

Combine like terms: -0.45 + 0.45 = 0.00
0.00 + x = -0.05 + 0.45
x = -0.05 + 0.45

Combine like terms: -0.05 + 0.45 = 0.4
x = 0.4

Simplifying
x = 0.4


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.5, 0.4}

See similar equations:

| 6+5x-4x=13 | | 5x-12=6x-10 | | 3(8.666666667+-1.333333333p)=26 | | 17x+32=7-40x | | 7-4(x+3)=7 | | 8-(4z-7)=6-5z | | X-10=5/12 | | (x+y)(5x^2-2xy+4y^2)= | | 4a+3b=26 | | 0.2x^2-0.9x+1=0 | | -13-x=-7 | | x(x+4)=2x+15 | | v=3/43.14(4)3 | | 7a+5b=45 | | (2/x)-(4/5)=(3/x) | | y=cos(cos(cosx)) | | 5b+7p=45 | | 17-4.2= | | 42x+36= | | x^2+8-65=0 | | 7p+5b=45 | | 5x^2+125=50x | | x^2015=0 | | (x)/(2.00-x)=1.25 | | -6(11-10a)=11(4+5a) | | 1.25x=25x | | 12L2C2/2 | | 2(x-9)=3x-4 | | 3b+4p=26 | | x+3=7x | | r+(-4)=-28 | | (x/2.00-x)=1.25 |

Equations solver categories