0.006x^2+0.2x-50=0

Simple and best practice solution for 0.006x^2+0.2x-50=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 0.006x^2+0.2x-50=0 equation: 


Simplifying
0.006x2 + 0.2x + -50 = 0

Reorder the terms:
-50 + 0.2x + 0.006x2 = 0

Solving
-50 + 0.2x + 0.006x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.006'.
-8333.333333 + 33.33333333x + x2 = 0

Move the constant term to the right:

Add '8333.333333' to each side of the equation.
-8333.333333 + 33.33333333x + 8333.333333 + x2 = 0 + 8333.333333

Reorder the terms:
-8333.333333 + 8333.333333 + 33.33333333x + x2 = 0 + 8333.333333

Combine like terms: -8333.333333 + 8333.333333 = 0.000000
0.000000 + 33.33333333x + x2 = 0 + 8333.333333
33.33333333x + x2 = 0 + 8333.333333

Combine like terms: 0 + 8333.333333 = 8333.333333
33.33333333x + x2 = 8333.333333

The x term is 33.33333333x.  Take half its coefficient (16.66666667).
Square it (277.7777779) and add it to both sides.

Add '277.7777779' to each side of the equation.
33.33333333x + 277.7777779 + x2 = 8333.333333 + 277.7777779

Reorder the terms:
277.7777779 + 33.33333333x + x2 = 8333.333333 + 277.7777779

Combine like terms: 8333.333333 + 277.7777779 = 8611.1111109
277.7777779 + 33.33333333x + x2 = 8611.1111109

Factor a perfect square on the left side:
(x + 16.66666667)(x + 16.66666667) = 8611.1111109

Calculate the square root of the right side: 92.796072713

Break this problem into two subproblems by setting 
(x + 16.66666667) equal to 92.796072713 and -92.796072713.


Subproblem 1
x + 16.66666667 = 92.796072713

Simplifying
x + 16.66666667 = 92.796072713

Reorder the terms:
16.66666667 + x = 92.796072713

Solving
16.66666667 + x = 92.796072713

Solving for variable 'x'.

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

Add '-16.66666667' to each side of the equation.
16.66666667 + -16.66666667 + x = 92.796072713 + -16.66666667

Combine like terms: 16.66666667 + -16.66666667 = 0.00000000
0.00000000 + x = 92.796072713 + -16.66666667
x = 92.796072713 + -16.66666667

Combine like terms: 92.796072713 + -16.66666667 = 76.129406043
x = 76.129406043

Simplifying
x = 76.129406043


Subproblem 2
x + 16.66666667 = -92.796072713

Simplifying
x + 16.66666667 = -92.796072713

Reorder the terms:
16.66666667 + x = -92.796072713

Solving
16.66666667 + x = -92.796072713

Solving for variable 'x'.

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

Add '-16.66666667' to each side of the equation.
16.66666667 + -16.66666667 + x = -92.796072713 + -16.66666667

Combine like terms: 16.66666667 + -16.66666667 = 0.00000000
0.00000000 + x = -92.796072713 + -16.66666667
x = -92.796072713 + -16.66666667

Combine like terms: -92.796072713 + -16.66666667 = -109.462739383
x = -109.462739383

Simplifying
x = -109.462739383


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {76.129406043, -109.462739383}

See similar equations:

| 25=3q-14 | | A-4= | | 0.006x^2+0.2x-50=50 | | 25-6x=9-8x | | 10=14t-0.5(9.8)t^2 | | 3x+3(2x-4)=33 | | 2xm-3=8 | | 21-d=13 | | 12-2x+13=10-8x | | 31x+12y=723 | | .9x+.1(x-560)=.8(560) | | 13y+(2y+3)+13x= | | 4x(x+14)=0 | | 12x+8=11x | | x^4-10x^3-21x^2-36x-180=0 | | 3(a+2)=5(a-1) | | m^2+2mn-15n^2=0 | | (4p-4q+8r)-6(-4p+3q-4r)= | | 2(8b-6)=32-7b | | 2c+1=4c-4 | | 10(3x-1)=65 | | ln(3x+4)=2.3 | | (3x+3)(x-2)=0 | | ab=2x+8 | | 3x-5=20x+4 | | 7.2d=4 | | 3x+1(x+4)=0 | | B-4.5=1.2 | | 4y=42 | | 4(w+3)-6w=32 | | -19=k+14+2k | | lnx+lnx+4=5 |

Equations solver categories