.05x^2+2x+2=0

Simple and best practice solution for .05x^2+2x+2=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 .05x^2+2x+2=0 equation: 


Simplifying
0.05x2 + 2x + 2 = 0

Reorder the terms:
2 + 2x + 0.05x2 = 0

Solving
2 + 2x + 0.05x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.05'.
40 + 40x + x2 = 0

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + 40x + -40 + x2 = 0 + -40

Reorder the terms:
40 + -40 + 40x + x2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 40x + x2 = 0 + -40
40x + x2 = 0 + -40

Combine like terms: 0 + -40 = -40
40x + x2 = -40

The x term is 40x.  Take half its coefficient (20).
Square it (400) and add it to both sides.

Add '400' to each side of the equation.
40x + 400 + x2 = -40 + 400

Reorder the terms:
400 + 40x + x2 = -40 + 400

Combine like terms: -40 + 400 = 360
400 + 40x + x2 = 360

Factor a perfect square on the left side:
(x + 20)(x + 20) = 360

Calculate the square root of the right side: 18.973665961

Break this problem into two subproblems by setting 
(x + 20) equal to 18.973665961 and -18.973665961.


Subproblem 1
x + 20 = 18.973665961

Simplifying
x + 20 = 18.973665961

Reorder the terms:
20 + x = 18.973665961

Solving
20 + x = 18.973665961

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + x = 18.973665961 + -20

Combine like terms: 20 + -20 = 0
0 + x = 18.973665961 + -20
x = 18.973665961 + -20

Combine like terms: 18.973665961 + -20 = -1.026334039
x = -1.026334039

Simplifying
x = -1.026334039


Subproblem 2
x + 20 = -18.973665961

Simplifying
x + 20 = -18.973665961

Reorder the terms:
20 + x = -18.973665961

Solving
20 + x = -18.973665961

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + x = -18.973665961 + -20

Combine like terms: 20 + -20 = 0
0 + x = -18.973665961 + -20
x = -18.973665961 + -20

Combine like terms: -18.973665961 + -20 = -38.973665961
x = -38.973665961

Simplifying
x = -38.973665961


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.026334039, -38.973665961}

See similar equations:

| 7x+12=7x+12 | | -82=53-5t | | -10c+6=46 | | e^4x-3e^2x-18=0 | | 9g+16=-29 | | y=-7/3*3+14 | | y=-7/3*0+14 | | 19+8v=42 | | 17x+13=77 | | -3x+y+2-(-8x)-7y+(-9)=0 | | 2x^6*8x^9= | | (3z-4)(8+2)=0 | | 3(1)+8= | | 3(3y-10)+2y=3 | | 3(4)+17= | | 0=2x^3+5x^2+x+100 | | 0.3+0.06p+0.02-0.02p=4 | | x=2x^3+5x^2+x+100 | | 0.3+0.06p+0.02+0.02p=4 | | f=2x^3+5x^2+x+100 | | 8-(-6y)+8x-9+y-1=0 | | 2x^3+5x^2+x+100= | | x+x+14+3x-28=651 | | -8-(-6)+(-5)= | | 2s+z=r | | +-3/4=61/4 | | -12+(-3)-14= | | ad=f | | Ln(x+3)=1.5 | | v=twh | | y=-3.2-0.2 | | X^3+6x+1=0 |

Equations solver categories