0.000031x=0.000000000441-0.000084x+4x^2

Simple and best practice solution for 0.000031x=0.000000000441-0.000084x+4x^2 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 0.000031x=0.000000000441-0.000084x+4x^2 equation: 


Simplifying
0.000031x = 0.000000000441 + -0.000084x + 4x2

Solving
0.000031x = 0.000000000441 + -0.000084x + 4x2

Solving for variable 'x'.

Reorder the terms:
-0.000000000441 + 0.000031x + 0.000084x + -4x2 = 0.000000000441 + -0.000084x + 4x2 + -0.000000000441 + 0.000084x + -4x2

Combine like terms: 0.000031x + 0.000084x = 0.000115x
-0.000000000441 + 0.000115x + -4x2 = 0.000000000441 + -0.000084x + 4x2 + -0.000000000441 + 0.000084x + -4x2

Reorder the terms:
-0.000000000441 + 0.000115x + -4x2 = 0.000000000441 + -0.000000000441 + -0.000084x + 0.000084x + 4x2 + -4x2

Combine like terms: 0.000000000441 + -0.000000000441 = 0.000000000000
-0.000000000441 + 0.000115x + -4x2 = 0.000000000000 + -0.000084x + 0.000084x + 4x2 + -4x2
-0.000000000441 + 0.000115x + -4x2 = -0.000084x + 0.000084x + 4x2 + -4x2

Combine like terms: -0.000084x + 0.000084x = 0.000000
-0.000000000441 + 0.000115x + -4x2 = 0.000000 + 4x2 + -4x2
-0.000000000441 + 0.000115x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-0.000000000441 + 0.000115x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
0.00000000011025 + -0.00002875x + x2 = 0

Move the constant term to the right:

Add '-0.00000000011025' to each side of the equation.
0.00000000011025 + -0.00002875x + -0.00000000011025 + x2 = 0 + -0.00000000011025

Reorder the terms:
0.00000000011025 + -0.00000000011025 + -0.00002875x + x2 = 0 + -0.00000000011025

Combine like terms: 0.00000000011025 + -0.00000000011025 = 0.00000000000000
0.00000000000000 + -0.00002875x + x2 = 0 + -0.00000000011025
-0.00002875x + x2 = 0 + -0.00000000011025

Combine like terms: 0 + -0.00000000011025 = -0.00000000011025
-0.00002875x + x2 = -0.00000000011025

The x term is -0.00002875x.  Take half its coefficient (-0.000014375).
Square it (0.000000000206640625) and add it to both sides.

Add '0.000000000206640625' to each side of the equation.
-0.00002875x + 0.000000000206640625 + x2 = -0.00000000011025 + 0.000000000206640625

Reorder the terms:
0.000000000206640625 + -0.00002875x + x2 = -0.00000000011025 + 0.000000000206640625

Combine like terms: -0.00000000011025 + 0.000000000206640625 = 0.000000000096390625
0.000000000206640625 + -0.00002875x + x2 = 0.000000000096390625

Factor a perfect square on the left side:
(x + -0.000014375)(x + -0.000014375) = 0.000000000096390625

Calculate the square root of the right side: 0.000009818

Break this problem into two subproblems by setting 
(x + -0.000014375) equal to 0.000009818 and -0.000009818.


Subproblem 1
x + -0.000014375 = 0.000009818

Simplifying
x + -0.000014375 = 0.000009818

Reorder the terms:
-0.000014375 + x = 0.000009818

Solving
-0.000014375 + x = 0.000009818

Solving for variable 'x'.

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

Add '0.000014375' to each side of the equation.
-0.000014375 + 0.000014375 + x = 0.000009818 + 0.000014375

Combine like terms: -0.000014375 + 0.000014375 = 0.000000000
0.000000000 + x = 0.000009818 + 0.000014375
x = 0.000009818 + 0.000014375

Combine like terms: 0.000009818 + 0.000014375 = 0.000024193
x = 0.000024193

Simplifying
x = 0.000024193


Subproblem 2
x + -0.000014375 = -0.000009818

Simplifying
x + -0.000014375 = -0.000009818

Reorder the terms:
-0.000014375 + x = -0.000009818

Solving
-0.000014375 + x = -0.000009818

Solving for variable 'x'.

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

Add '0.000014375' to each side of the equation.
-0.000014375 + 0.000014375 + x = -0.000009818 + 0.000014375

Combine like terms: -0.000014375 + 0.000014375 = 0.000000000
0.000000000 + x = -0.000009818 + 0.000014375
x = -0.000009818 + 0.000014375

Combine like terms: -0.000009818 + 0.000014375 = 0.000004557
x = 0.000004557

Simplifying
x = 0.000004557


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.000024193, 0.000004557}

See similar equations:

| 6x-4(-3x+11)=-188 | | 0=x^5-64x | | 0=x(x^4-64) | | x-7/12=12 | | 20n-7=18n-3 | | -2(x+3)+5(x-2)=x-1 | | (8n)-(-2)/7=6 | | -4x^2+7x+8=0 | | 6x^3-4x=0 | | 5x^2-25=4x^2+56 | | 2x-(-9-2x)+25=28 | | g(0)=0.5x+4 | | 272*(67/68)*(13/16) | | (C+5)/-3=18 | | 5+x/2=9 | | 8x+9+9=4 | | 7x+3y=300 | | 2x(4x-3)=8x*2-18 | | 44w+4w^2=121 | | 2a-4=2(a+1)+7a+4 | | 1/10(x-1/2)=1/2 | | -24+23y=-y^2 | | 2/3q-1/2q+1/4q=5/6 | | 18.6=m-3.4 | | z^2+8z=15 | | 6(g+3)=-2(g+32) | | b/4-10=13 | | 10x+60+6x-34=330 | | 22z+16z^2=3 | | 4(x-7)=18 | | s^2-4s-12=0 | | 10x+60+6x-34=314 |

Equations solver categories