10*x*(1-x)=0.9

Simple and best practice solution for 10*x*(1-x)=0.9 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 10*x*(1-x)=0.9 equation: 


Simplifying
10x(1 + -1x) = 0.9
(1 * 10x + -1x * 10x) = 0.9
(10x + -10x2) = 0.9

Solving
10x + -10x2 = 0.9

Solving for variable 'x'.

Reorder the terms:
-0.9 + 10x + -10x2 = 0.9 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
-0.9 + 10x + -10x2 = 0.0

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
0.09 + -1x + x2 = 0.00

Move the constant term to the right:

Add '-0.09' to each side of the equation.
0.09 + -1x + -0.09 + x2 = 0.00 + -0.09

Reorder the terms:
0.09 + -0.09 + -1x + x2 = 0.00 + -0.09

Combine like terms: 0.09 + -0.09 = 0.00
0.00 + -1x + x2 = 0.00 + -0.09
-1x + x2 = 0.00 + -0.09

Combine like terms: 0.00 + -0.09 = -0.09
-1x + x2 = -0.09

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -0.09 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -0.09 + 0.25

Combine like terms: -0.09 + 0.25 = 0.16
0.25 + -1x + x2 = 0.16

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 0.16

Calculate the square root of the right side: 0.4

Break this problem into two subproblems by setting 
(x + -0.5) equal to 0.4 and -0.4.


Subproblem 1
x + -0.5 = 0.4

Simplifying
x + -0.5 = 0.4

Reorder the terms:
-0.5 + x = 0.4

Solving
-0.5 + x = 0.4

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = 0.4 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = 0.4 + 0.5
x = 0.4 + 0.5

Combine like terms: 0.4 + 0.5 = 0.9
x = 0.9

Simplifying
x = 0.9


Subproblem 2
x + -0.5 = -0.4

Simplifying
x + -0.5 = -0.4

Reorder the terms:
-0.5 + x = -0.4

Solving
-0.5 + x = -0.4

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = -0.4 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = -0.4 + 0.5
x = -0.4 + 0.5

Combine like terms: -0.4 + 0.5 = 0.1
x = 0.1

Simplifying
x = 0.1


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.9, 0.1}

See similar equations:

| Logx4=1/2 | | -24-4d=9(3d+8) | | (4x^2-6y)/(2y^2-12y) | | 11x-10=9x+3 | | =y-4(-6)-30 | | 11x^2-7X^2= | | Cosx=-2 | | r-52=101 | | x^3*x^4=x | | -10-127= | | m=5+.5(10) | | (2.6-2x)(2.6-2x)=0 | | 0=3x^2+24x+43 | | 4a+5-6=26 | | 3x+5y=c | | (2y-3)/(y-6) | | Y=3x^2+24x+43 | | n/16=4/n | | 4a^2-7g-5=0 | | 16x^3-1024=0 | | 0=2/3x-5 | | y^2-2x+2=0 | | 264000/3600 | | 6x^2=6x+12 | | y^2-2x^2=8 | | 36/n=72/1 | | 180*x+120*y=3136440 | | 0=0.8x-0.6 | | 7-4x/9=1-(x-6) | | (x-8)(3x-2)=0 | | (20-21x)/24yx | | 15=2L*W-7 |

Equations solver categories