(x+0.1)(x)=.00000002

Simple and best practice solution for (x+0.1)(x)=.00000002 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+0.1)(x)=.00000002 equation: 


Simplifying
(x + 0.1)(x) = 0.00000002

Reorder the terms:
(0.1 + x)(x) = 0.00000002

Reorder the terms for easier multiplication:
x(0.1 + x) = 0.00000002
(0.1 * x + x * x) = 0.00000002
(0.1x + x2) = 0.00000002

Solving
0.1x + x2 = 0.00000002

Solving for variable 'x'.

Reorder the terms:
-0.00000002 + 0.1x + x2 = 0.00000002 + -0.00000002

Combine like terms: 0.00000002 + -0.00000002 = 0.00000000
-0.00000002 + 0.1x + x2 = 0.00000000

Begin completing the square.

Move the constant term to the right:

Add '0.00000002' to each side of the equation.
-0.00000002 + 0.1x + 0.00000002 + x2 = 0.00000000 + 0.00000002

Reorder the terms:
-0.00000002 + 0.00000002 + 0.1x + x2 = 0.00000000 + 0.00000002

Combine like terms: -0.00000002 + 0.00000002 = 0.00000000
0.00000000 + 0.1x + x2 = 0.00000000 + 0.00000002
0.1x + x2 = 0.00000000 + 0.00000002

Combine like terms: 0.00000000 + 0.00000002 = 0.00000002
0.1x + x2 = 0.00000002

The x term is 0.1x.  Take half its coefficient (0.05).
Square it (0.0025) and add it to both sides.

Add '0.0025' to each side of the equation.
0.1x + 0.0025 + x2 = 0.00000002 + 0.0025

Reorder the terms:
0.0025 + 0.1x + x2 = 0.00000002 + 0.0025

Combine like terms: 0.00000002 + 0.0025 = 0.00250002
0.0025 + 0.1x + x2 = 0.00250002

Factor a perfect square on the left side:
(x + 0.05)(x + 0.05) = 0.00250002

Calculate the square root of the right side: 0.0500002

Break this problem into two subproblems by setting 
(x + 0.05) equal to 0.0500002 and -0.0500002.


Subproblem 1
x + 0.05 = 0.0500002

Simplifying
x + 0.05 = 0.0500002

Reorder the terms:
0.05 + x = 0.0500002

Solving
0.05 + x = 0.0500002

Solving for variable 'x'.

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

Add '-0.05' to each side of the equation.
0.05 + -0.05 + x = 0.0500002 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + x = 0.0500002 + -0.05
x = 0.0500002 + -0.05

Combine like terms: 0.0500002 + -0.05 = 0.0000002
x = 0.0000002

Simplifying
x = 0.0000002


Subproblem 2
x + 0.05 = -0.0500002

Simplifying
x + 0.05 = -0.0500002

Reorder the terms:
0.05 + x = -0.0500002

Solving
0.05 + x = -0.0500002

Solving for variable 'x'.

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

Add '-0.05' to each side of the equation.
0.05 + -0.05 + x = -0.0500002 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + x = -0.0500002 + -0.05
x = -0.0500002 + -0.05

Combine like terms: -0.0500002 + -0.05 = -0.1000002
x = -0.1000002

Simplifying
x = -0.1000002


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.0000002, -0.1000002}

See similar equations:

| 3x+50/7+x+8/5=10 | | 2x^3-3x^2+5x-9forx=-2 | | (7x^5y^-2)/(x^-5)(y^-8) | | 2j(3-8)-7=34 | | 2x^3-3x^2+5x-9x=-2 | | 4(5+2x)-5=9x+21 | | 4+1/5x=-1 | | (n+9)/(n-5) | | 4x-8/15-x/5=x/15+4 | | 2x-22=-40+3x | | 1/3(30x-15)+3(2x-5) | | -5r+27=13 | | (6x+5)/(2x-7)=(21x-4)/(7x+7) | | 2b+4c= | | 15c+10=x | | 2-1p-2=-1p-6+6 | | 8q-(q-2)=5q+2(q+1) | | 42m=-996 | | 2a-7=5a+17 | | 6x+12=-8 | | 0.5h+0.33(h+-6)=0.83h+2 | | 12-3(4-t)+4t=0 | | t+2.41=69 | | 2z-31=9 | | 4-3x+8=5(x-4) | | (x-3)+(8+x)+(x)+(x-5)=360 | | 3x^2(y)=75 | | y=-18+17 | | -2t-4=-20 | | -5+3(y-2)=15-(2y-4) | | 4a-20=8 | | 9x-9=10x+14 |

Equations solver categories