-0.0044x^2+1.68x-100=0

Simple and best practice solution for -0.0044x^2+1.68x-100=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 -0.0044x^2+1.68x-100=0 equation: 


Simplifying
-0.0044x2 + 1.68x + -100 = 0

Reorder the terms:
-100 + 1.68x + -0.0044x2 = 0

Solving
-100 + 1.68x + -0.0044x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-0.0044 the coefficient of the squared term: 

Divide each side by '-0.0044'.
22727.27273 + -381.8181818x + x2 = 0

Move the constant term to the right:

Add '-22727.27273' to each side of the equation.
22727.27273 + -381.8181818x + -22727.27273 + x2 = 0 + -22727.27273

Reorder the terms:
22727.27273 + -22727.27273 + -381.8181818x + x2 = 0 + -22727.27273

Combine like terms: 22727.27273 + -22727.27273 = 0.00000
0.00000 + -381.8181818x + x2 = 0 + -22727.27273
-381.8181818x + x2 = 0 + -22727.27273

Combine like terms: 0 + -22727.27273 = -22727.27273
-381.8181818x + x2 = -22727.27273

The x term is -381.8181818x.  Take half its coefficient (-190.9090909).
Square it (36446.28099) and add it to both sides.

Add '36446.28099' to each side of the equation.
-381.8181818x + 36446.28099 + x2 = -22727.27273 + 36446.28099

Reorder the terms:
36446.28099 + -381.8181818x + x2 = -22727.27273 + 36446.28099

Combine like terms: -22727.27273 + 36446.28099 = 13719.00826
36446.28099 + -381.8181818x + x2 = 13719.00826

Factor a perfect square on the left side:
(x + -190.9090909)(x + -190.9090909) = 13719.00826

Calculate the square root of the right side: 117.128170224

Break this problem into two subproblems by setting 
(x + -190.9090909) equal to 117.128170224 and -117.128170224.


Subproblem 1
x + -190.9090909 = 117.128170224

Simplifying
x + -190.9090909 = 117.128170224

Reorder the terms:
-190.9090909 + x = 117.128170224

Solving
-190.9090909 + x = 117.128170224

Solving for variable 'x'.

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

Add '190.9090909' to each side of the equation.
-190.9090909 + 190.9090909 + x = 117.128170224 + 190.9090909

Combine like terms: -190.9090909 + 190.9090909 = 0.0000000
0.0000000 + x = 117.128170224 + 190.9090909
x = 117.128170224 + 190.9090909

Combine like terms: 117.128170224 + 190.9090909 = 308.037261124
x = 308.037261124

Simplifying
x = 308.037261124


Subproblem 2
x + -190.9090909 = -117.128170224

Simplifying
x + -190.9090909 = -117.128170224

Reorder the terms:
-190.9090909 + x = -117.128170224

Solving
-190.9090909 + x = -117.128170224

Solving for variable 'x'.

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

Add '190.9090909' to each side of the equation.
-190.9090909 + 190.9090909 + x = -117.128170224 + 190.9090909

Combine like terms: -190.9090909 + 190.9090909 = 0.0000000
0.0000000 + x = -117.128170224 + 190.9090909
x = -117.128170224 + 190.9090909

Combine like terms: -117.128170224 + 190.9090909 = 73.780920676
x = 73.780920676

Simplifying
x = 73.780920676


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {308.037261124, 73.780920676}

See similar equations:

| (x/3)-(x/7)=20 | | -17=-6+3v | | 9(c-2)+5=4+c-17 | | 8(x-d)=x | | 2(u+8)=-2+8 | | 3x^2-9x-12= | | 5y-10=60 | | X=170-99 | | 3y/4 | | 3x+1+2(3y+1)= | | 78=3w | | -7(t+5)=7 | | -25/6-9 | | 144=x(x-18) | | 4x-40-2x=8 | | 7w+41=-3(w+3) | | 3+8(2y+4)=4(2y-4)+2 | | y=(x+6x^4) | | U+6=-5 | | (cos)8=x | | -3/4-1/5 | | -35/8-9 | | (8y+5)-(5y-1)= | | x+6x-40=180 | | (3k+4)(7k-4)=0 | | 3y/8-9=13 | | (5y-1)-(8y+5)= | | 28=3(y+4)-7y | | y=14000/27x | | 4x^2+6-106=0 | | 1/5x+6=-3 | | -3(y+7)=3y+33 |

Equations solver categories