.0002x^2-3.16x+121.9=0

Simple and best practice solution for .0002x^2-3.16x+121.9=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 .0002x^2-3.16x+121.9=0 equation: 


Simplifying
0.0002x2 + -3.16x + 121.9 = 0

Reorder the terms:
121.9 + -3.16x + 0.0002x2 = 0

Solving
121.9 + -3.16x + 0.0002x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
0.0002 the coefficient of the squared term: 

Divide each side by '0.0002'.
609500 + -15800x + x2 = 0

Move the constant term to the right:

Add '-609500' to each side of the equation.
609500 + -15800x + -609500 + x2 = 0 + -609500

Reorder the terms:
609500 + -609500 + -15800x + x2 = 0 + -609500

Combine like terms: 609500 + -609500 = 0
0 + -15800x + x2 = 0 + -609500
-15800x + x2 = 0 + -609500

Combine like terms: 0 + -609500 = -609500
-15800x + x2 = -609500

The x term is -15800x.  Take half its coefficient (-7900).
Square it (62410000) and add it to both sides.

Add '62410000' to each side of the equation.
-15800x + 62410000 + x2 = -609500 + 62410000

Reorder the terms:
62410000 + -15800x + x2 = -609500 + 62410000

Combine like terms: -609500 + 62410000 = 61800500
62410000 + -15800x + x2 = 61800500

Factor a perfect square on the left side:
(x + -7900)(x + -7900) = 61800500

Calculate the square root of the right side: 7861.329404115

Break this problem into two subproblems by setting 
(x + -7900) equal to 7861.329404115 and -7861.329404115.


Subproblem 1
x + -7900 = 7861.329404115

Simplifying
x + -7900 = 7861.329404115

Reorder the terms:
-7900 + x = 7861.329404115

Solving
-7900 + x = 7861.329404115

Solving for variable 'x'.

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

Add '7900' to each side of the equation.
-7900 + 7900 + x = 7861.329404115 + 7900

Combine like terms: -7900 + 7900 = 0
0 + x = 7861.329404115 + 7900
x = 7861.329404115 + 7900

Combine like terms: 7861.329404115 + 7900 = 15761.329404115
x = 15761.329404115

Simplifying
x = 15761.329404115


Subproblem 2
x + -7900 = -7861.329404115

Simplifying
x + -7900 = -7861.329404115

Reorder the terms:
-7900 + x = -7861.329404115

Solving
-7900 + x = -7861.329404115

Solving for variable 'x'.

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

Add '7900' to each side of the equation.
-7900 + 7900 + x = -7861.329404115 + 7900

Combine like terms: -7900 + 7900 = 0
0 + x = -7861.329404115 + 7900
x = -7861.329404115 + 7900

Combine like terms: -7861.329404115 + 7900 = 38.670595885
x = 38.670595885

Simplifying
x = 38.670595885


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {15761.329404115, 38.670595885}

See similar equations:

| -2(r+1)-4(4r+7)-15r= | | (-16)+x=15 | | 8x^2+24x+10= | | (16)+x=15 | | 4.6-(-5)=0.4 | | (-19)+x=5 | | X^3+6x^2-25x-150= | | 5p^2=-10p+1 | | 3x^3-x^2-48x+16=0 | | 2u-8=-22 | | 23-2x=29 | | 2(4)-6+3(4)=14 | | 6-13y=4-12y | | n+7.3=4.2 | | x(x+14)-20(x+14)= | | -3x-5y=-1 | | p+28+3p-32+p=606 | | -3x+5y=-1 | | 10y^2-9y+2= | | -(-5x-6)=4(5x+3) | | -15x+24y=-6 | | 6(-9)-2(-9)=-36 | | (-14+n)+6=-5 | | 9d-d-3d-2=2d | | 8x^2+24+10= | | R^2-4r+5=0 | | 40x+2(1.5x)=430 | | x+(x+8)=54 | | 9x^3-54x^2+72x= | | 3t^2=13t+16 | | 4y=7y-6 | | 50=-2(21-b)+(b-4) |

Equations solver categories