x^2+0.0004384x-0.00002609=0

Simple and best practice solution for x^2+0.0004384x-0.00002609=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+0.0004384x-0.00002609=0 equation: 


Simplifying
x2 + 0.0004384x + -0.00002609 = 0

Reorder the terms:
-0.00002609 + 0.0004384x + x2 = 0

Solving
-0.00002609 + 0.0004384x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '0.00002609' to each side of the equation.
-0.00002609 + 0.0004384x + 0.00002609 + x2 = 0 + 0.00002609

Reorder the terms:
-0.00002609 + 0.00002609 + 0.0004384x + x2 = 0 + 0.00002609

Combine like terms: -0.00002609 + 0.00002609 = 0.00000000
0.00000000 + 0.0004384x + x2 = 0 + 0.00002609
0.0004384x + x2 = 0 + 0.00002609

Combine like terms: 0 + 0.00002609 = 0.00002609
0.0004384x + x2 = 0.00002609

The x term is 0.0004384x.  Take half its coefficient (0.0002192).
Square it (0.00000004804864) and add it to both sides.

Add '0.00000004804864' to each side of the equation.
0.0004384x + 0.00000004804864 + x2 = 0.00002609 + 0.00000004804864

Reorder the terms:
0.00000004804864 + 0.0004384x + x2 = 0.00002609 + 0.00000004804864

Combine like terms: 0.00002609 + 0.00000004804864 = 0.00002613804864
0.00000004804864 + 0.0004384x + x2 = 0.00002613804864

Factor a perfect square on the left side:
(x + 0.0002192)(x + 0.0002192) = 0.00002613804864

Calculate the square root of the right side: 0.005112538

Break this problem into two subproblems by setting 
(x + 0.0002192) equal to 0.005112538 and -0.005112538.


Subproblem 1
x + 0.0002192 = 0.005112538

Simplifying
x + 0.0002192 = 0.005112538

Reorder the terms:
0.0002192 + x = 0.005112538

Solving
0.0002192 + x = 0.005112538

Solving for variable 'x'.

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

Add '-0.0002192' to each side of the equation.
0.0002192 + -0.0002192 + x = 0.005112538 + -0.0002192

Combine like terms: 0.0002192 + -0.0002192 = 0.0000000
0.0000000 + x = 0.005112538 + -0.0002192
x = 0.005112538 + -0.0002192

Combine like terms: 0.005112538 + -0.0002192 = 0.004893338
x = 0.004893338

Simplifying
x = 0.004893338


Subproblem 2
x + 0.0002192 = -0.005112538

Simplifying
x + 0.0002192 = -0.005112538

Reorder the terms:
0.0002192 + x = -0.005112538

Solving
0.0002192 + x = -0.005112538

Solving for variable 'x'.

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

Add '-0.0002192' to each side of the equation.
0.0002192 + -0.0002192 + x = -0.005112538 + -0.0002192

Combine like terms: 0.0002192 + -0.0002192 = 0.0000000
0.0000000 + x = -0.005112538 + -0.0002192
x = -0.005112538 + -0.0002192

Combine like terms: -0.005112538 + -0.0002192 = -0.005331738
x = -0.005331738

Simplifying
x = -0.005331738


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.004893338, -0.005331738}

See similar equations:

| (4,-10)m=2 | | (4x^3y^5)(-6x^3y)= | | (4x^3y^5)(-6x^3-y)= | | 9.49c=8.99+3 | | 5u+3=-32 | | x+9-3=12 | | x^3-12x^2+29x-18=0 | | (4x^3+y^5)(-6x^3-y)= | | 3.5j=-3(1-(j-3)) | | x^2+0.0004384x-0.0002609=0 | | x^3-12x^2+29-18=0 | | x-.3x=500 | | 8-4(2m-7)=8(m-3) | | 8=8v-(v+8) | | 8(x+1)=8x+8 | | n-6=-5 | | 3x^8+5x^5-10=0 | | 19+13+6+16= | | -4x^2+2x+6=0 | | x+(2x)=64 | | e=2d-3 | | 1*X^2+4=13 | | (a-14)-3=-28 | | 2x-0.25x=-28 | | x^2-0.0004384x-0.0002609=0 | | 2(a-12)+3a=6a+1 | | x+5(4)=3x | | 3(s+22)=4(a-1.5) | | 2(x+4)=11x-5 | | x^2-2x-1.396=0 | | 3t^2+t-4=0 | | 12x+5y=-60 |

Equations solver categories