x(x+0.0075)=0.000075

Simple and best practice solution for x(x+0.0075)=0.000075 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(x+0.0075)=0.000075 equation: 


Simplifying
x(x + 0.0075) = 0.000075

Reorder the terms:
x(0.0075 + x) = 0.000075
(0.0075 * x + x * x) = 0.000075
(0.0075x + x2) = 0.000075

Solving
0.0075x + x2 = 0.000075

Solving for variable 'x'.

Reorder the terms:
-0.000075 + 0.0075x + x2 = 0.000075 + -0.000075

Combine like terms: 0.000075 + -0.000075 = 0.000000
-0.000075 + 0.0075x + x2 = 0.000000

Begin completing the square.

Move the constant term to the right:

Add '0.000075' to each side of the equation.
-0.000075 + 0.0075x + 0.000075 + x2 = 0.000000 + 0.000075

Reorder the terms:
-0.000075 + 0.000075 + 0.0075x + x2 = 0.000000 + 0.000075

Combine like terms: -0.000075 + 0.000075 = 0.000000
0.000000 + 0.0075x + x2 = 0.000000 + 0.000075
0.0075x + x2 = 0.000000 + 0.000075

Combine like terms: 0.000000 + 0.000075 = 0.000075
0.0075x + x2 = 0.000075

The x term is 0.0075x.  Take half its coefficient (0.00375).
Square it (0.0000140625) and add it to both sides.

Add '0.0000140625' to each side of the equation.
0.0075x + 0.0000140625 + x2 = 0.000075 + 0.0000140625

Reorder the terms:
0.0000140625 + 0.0075x + x2 = 0.000075 + 0.0000140625

Combine like terms: 0.000075 + 0.0000140625 = 0.0000890625
0.0000140625 + 0.0075x + x2 = 0.0000890625

Factor a perfect square on the left side:
(x + 0.00375)(x + 0.00375) = 0.0000890625

Calculate the square root of the right side: 0.009437293

Break this problem into two subproblems by setting 
(x + 0.00375) equal to 0.009437293 and -0.009437293.


Subproblem 1
x + 0.00375 = 0.009437293

Simplifying
x + 0.00375 = 0.009437293

Reorder the terms:
0.00375 + x = 0.009437293

Solving
0.00375 + x = 0.009437293

Solving for variable 'x'.

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

Add '-0.00375' to each side of the equation.
0.00375 + -0.00375 + x = 0.009437293 + -0.00375

Combine like terms: 0.00375 + -0.00375 = 0.00000
0.00000 + x = 0.009437293 + -0.00375
x = 0.009437293 + -0.00375

Combine like terms: 0.009437293 + -0.00375 = 0.005687293
x = 0.005687293

Simplifying
x = 0.005687293


Subproblem 2
x + 0.00375 = -0.009437293

Simplifying
x + 0.00375 = -0.009437293

Reorder the terms:
0.00375 + x = -0.009437293

Solving
0.00375 + x = -0.009437293

Solving for variable 'x'.

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

Add '-0.00375' to each side of the equation.
0.00375 + -0.00375 + x = -0.009437293 + -0.00375

Combine like terms: 0.00375 + -0.00375 = 0.00000
0.00000 + x = -0.009437293 + -0.00375
x = -0.009437293 + -0.00375

Combine like terms: -0.009437293 + -0.00375 = -0.013187293
x = -0.013187293

Simplifying
x = -0.013187293


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.005687293, -0.013187293}

See similar equations:

| -5-49= | | -33+5x=x+75 | | 6x^2-36x^2= | | 3w+-6-4w= | | (2-4+12*3((12+7)*2)*4)*2= | | x(x+0.0075)=0.00075 | | 5v+-2v= | | 12x-22=47+9x | | X^2-49x+294=0 | | 4x^4-3x^2-9=0 | | -8+30=2w-20 | | h+10h-2h= | | -121+4x=11x+59 | | f(x)=5-7x | | x^2+2x+1=12 | | 8x+x=28 | | 9+16=9 | | 7x-115=149-5x | | 2q^2+36q-990=0 | | 12x-33=8x+47 | | a^2+30+7=0 | | 7(3n-3)+5=-7 | | -1.2+0.8=m-1 | | 7x^2-7x^2*4= | | x-2+56=0 | | 8n+2=5n+11 | | 12=34-x | | x^3+2x^2+5x-26=0 | | 6(y-2)= | | 6x*4x*2x= | | 8r^3-4r^2+14r-7= | | 8-3y=-19 |

Equations solver categories