0=2x^2+8x-2

Simple and best practice solution for 0=2x^2+8x-2 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=2x^2+8x-2 equation: 


Simplifying
0 = 2x2 + 8x + -2

Reorder the terms:
0 = -2 + 8x + 2x2

Solving
0 = -2 + 8x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 2 = 2
2 + -8x + -2x2 = -2 + 8x + 2x2 + 2 + -8x + -2x2

Reorder the terms:
2 + -8x + -2x2 = -2 + 2 + 8x + -8x + 2x2 + -2x2

Combine like terms: -2 + 2 = 0
2 + -8x + -2x2 = 0 + 8x + -8x + 2x2 + -2x2
2 + -8x + -2x2 = 8x + -8x + 2x2 + -2x2

Combine like terms: 8x + -8x = 0
2 + -8x + -2x2 = 0 + 2x2 + -2x2
2 + -8x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
2 + -8x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -4x + -1x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -4x + -1x2)' equal to zero and attempt to solve:

Simplifying
1 + -4x + -1x2 = 0

Solving
1 + -4x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-1 + 4x + x2 = 0

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + 4x + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + 4x + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4x + x2 = 0 + 1
4x + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
4x + x2 = 1

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 1 + 4

Reorder the terms:
4 + 4x + x2 = 1 + 4

Combine like terms: 1 + 4 = 5
4 + 4x + x2 = 5

Factor a perfect square on the left side:
(x + 2)(x + 2) = 5

Calculate the square root of the right side: 2.236067978

Break this problem into two subproblems by setting 
(x + 2) equal to 2.236067978 and -2.236067978.


Subproblem 1
x + 2 = 2.236067978

Simplifying
x + 2 = 2.236067978

Reorder the terms:
2 + x = 2.236067978

Solving
2 + x = 2.236067978

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 2.236067978 + -2

Combine like terms: 2 + -2 = 0
0 + x = 2.236067978 + -2
x = 2.236067978 + -2

Combine like terms: 2.236067978 + -2 = 0.236067978
x = 0.236067978

Simplifying
x = 0.236067978


Subproblem 2
x + 2 = -2.236067978

Simplifying
x + 2 = -2.236067978

Reorder the terms:
2 + x = -2.236067978

Solving
2 + x = -2.236067978

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -2.236067978 + -2

Combine like terms: 2 + -2 = 0
0 + x = -2.236067978 + -2
x = -2.236067978 + -2

Combine like terms: -2.236067978 + -2 = -4.236067978
x = -4.236067978

Simplifying
x = -4.236067978


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.236067978, -4.236067978}
Solution
x = {0.236067978, -4.236067978}

See similar equations:

| 2x+6=9-9x | | n=11x+x^2 | | -7x^2+20x-5=0 | | (r-4)(r+18)=-41 | | Log(x-4)=0 | | 3x-1=-111-7x | | cz+d=e | | 5x^4+18x^2=0 | | (2/3)^2x=(27/8)^3 | | by-c=d | | 6x+9x-60=40-5x | | 16m^4=45 | | 9-5x=-3-6x+1 | | ln(3x-18)=2 | | 0.5x-3=-21 | | bz=m+n | | 100x+x+x=1000 | | tanX=15/12 | | 100x+x+x=100 | | 2x+25=4x-9 | | 8(5x)-2=144 | | (13d)0= | | x(30)=100(7) | | 6n-29=-54+n | | sinx=.9 | | 3(4a)= | | 2+2x-7+6= | | 30+x=65 | | 10x^2+5y^2-12xy-4x-6y-13=0 | | X^2+y^2-12xy-4x-6y-13=0 | | 5x-6=x+24 | | -2(-2x+7)-8x=2(x-5)-1 |

Equations solver categories