0.18x^2+0.0051x-0.0028=0

Simple and best practice solution for 0.18x^2+0.0051x-0.0028=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 0.18x^2+0.0051x-0.0028=0 equation: 


Simplifying
0.18x2 + 0.0051x + -0.0028 = 0

Reorder the terms:
-0.0028 + 0.0051x + 0.18x2 = 0

Solving
-0.0028 + 0.0051x + 0.18x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.18'.
-0.01555555556 + 0.02833333333x + x2 = 0

Move the constant term to the right:

Add '0.01555555556' to each side of the equation.
-0.01555555556 + 0.02833333333x + 0.01555555556 + x2 = 0 + 0.01555555556

Reorder the terms:
-0.01555555556 + 0.01555555556 + 0.02833333333x + x2 = 0 + 0.01555555556

Combine like terms: -0.01555555556 + 0.01555555556 = 0.00000000000
0.00000000000 + 0.02833333333x + x2 = 0 + 0.01555555556
0.02833333333x + x2 = 0 + 0.01555555556

Combine like terms: 0 + 0.01555555556 = 0.01555555556
0.02833333333x + x2 = 0.01555555556

The x term is 0.02833333333x.  Take half its coefficient (0.01416666667).
Square it (0.0002006944445) and add it to both sides.

Add '0.0002006944445' to each side of the equation.
0.02833333333x + 0.0002006944445 + x2 = 0.01555555556 + 0.0002006944445

Reorder the terms:
0.0002006944445 + 0.02833333333x + x2 = 0.01555555556 + 0.0002006944445

Combine like terms: 0.01555555556 + 0.0002006944445 = 0.0157562500045
0.0002006944445 + 0.02833333333x + x2 = 0.0157562500045

Factor a perfect square on the left side:
(x + 0.01416666667)(x + 0.01416666667) = 0.0157562500045

Calculate the square root of the right side: 0.125523902

Break this problem into two subproblems by setting 
(x + 0.01416666667) equal to 0.125523902 and -0.125523902.


Subproblem 1
x + 0.01416666667 = 0.125523902

Simplifying
x + 0.01416666667 = 0.125523902

Reorder the terms:
0.01416666667 + x = 0.125523902

Solving
0.01416666667 + x = 0.125523902

Solving for variable 'x'.

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

Add '-0.01416666667' to each side of the equation.
0.01416666667 + -0.01416666667 + x = 0.125523902 + -0.01416666667

Combine like terms: 0.01416666667 + -0.01416666667 = 0.00000000000
0.00000000000 + x = 0.125523902 + -0.01416666667
x = 0.125523902 + -0.01416666667

Combine like terms: 0.125523902 + -0.01416666667 = 0.11135723533
x = 0.11135723533

Simplifying
x = 0.11135723533


Subproblem 2
x + 0.01416666667 = -0.125523902

Simplifying
x + 0.01416666667 = -0.125523902

Reorder the terms:
0.01416666667 + x = -0.125523902

Solving
0.01416666667 + x = -0.125523902

Solving for variable 'x'.

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

Add '-0.01416666667' to each side of the equation.
0.01416666667 + -0.01416666667 + x = -0.125523902 + -0.01416666667

Combine like terms: 0.01416666667 + -0.01416666667 = 0.00000000000
0.00000000000 + x = -0.125523902 + -0.01416666667
x = -0.125523902 + -0.01416666667

Combine like terms: -0.125523902 + -0.01416666667 = -0.13969056867
x = -0.13969056867

Simplifying
x = -0.13969056867


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.11135723533, -0.13969056867}

See similar equations:

| 4=5+2(x+1) | | f(x)=ln(2x)-ln(2) | | 43.2-.72x=x | | 6+3x-x=4+2x+2 | | Y=-10+1x | | 9x-6(-2+x)=-7*5x+20 | | ln^2(x^2)-9=0 | | -5y-4(-6-2y)=0 | | 5(3)+3y=90 | | -6v+3=-12v-15 | | x+5x=10.5 | | 2a-3b=-ab | | 5x+3(0)=90 | | 8+x=36 | | 6x+19=33+2x | | (Z+6)(z+6)=-10 | | 10-5u-u=2u+2 | | 2(x+3)=5(x-2) | | 0=-8x(x+4) | | 4-3(2x-1)=7x-4x+3 | | 45x-7=-52 | | 3x-23=2x+30 | | 7+6x=2x-25 | | 3x-23=2x | | 12x^6-27y^4= | | (3x)+(2x-10)=90 | | 27=-2(22-y)+3(y-3) | | ln(x+6)-ln(x-3)=1 | | 4v=48-2v | | -3x+7=-43 | | 3x+4-1=-24 | | 3q-2q-4q= |

Equations solver categories