2x^2-8x+4=0

Simple and best practice solution for 2x^2-8x+4=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 2x^2-8x+4=0 equation: 


Simplifying
2x2 + -8x + 4 = 0

Reorder the terms:
4 + -8x + 2x2 = 0

Solving
4 + -8x + 2x2 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -4x + x2)' equal to zero and attempt to solve:

Simplifying
2 + -4x + x2 = 0

Solving
2 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -4x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -4x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -4x + x2 = 0 + -2
-4x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-4x + x2 = -2

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 = -2 + 4

Reorder the terms:
4 + -4x + x2 = -2 + 4

Combine like terms: -2 + 4 = 2
4 + -4x + x2 = 2

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

Calculate the square root of the right side: 1.414213562

Break this problem into two subproblems by setting 
(x + -2) equal to 1.414213562 and -1.414213562.


Subproblem 1
x + -2 = 1.414213562

Simplifying
x + -2 = 1.414213562

Reorder the terms:
-2 + x = 1.414213562

Solving
-2 + x = 1.414213562

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 = 1.414213562 + 2

Combine like terms: -2 + 2 = 0
0 + x = 1.414213562 + 2
x = 1.414213562 + 2

Combine like terms: 1.414213562 + 2 = 3.414213562
x = 3.414213562

Simplifying
x = 3.414213562


Subproblem 2
x + -2 = -1.414213562

Simplifying
x + -2 = -1.414213562

Reorder the terms:
-2 + x = -1.414213562

Solving
-2 + x = -1.414213562

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 = -1.414213562 + 2

Combine like terms: -2 + 2 = 0
0 + x = -1.414213562 + 2
x = -1.414213562 + 2

Combine like terms: -1.414213562 + 2 = 0.585786438
x = 0.585786438

Simplifying
x = 0.585786438


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.414213562, 0.585786438}
Solution
x = {3.414213562, 0.585786438}

See similar equations:

| 2k+14-8=12 | | x^4+64x=0 | | 10-3p=2-3p | | -2(x+2)=2x+1 | | (-15w)=55 | | 0=6x^2+5x-4 | | 8x-8=2x-3 | | (-w)=55 | | -5m+10=-5 | | -b+1=1-b | | 8x=5x^2+75 | | -4(2x-5)=-8x-20 | | 7w=47 | | 7w=63 | | -5+10=-5 | | -8x+4(4+2x)=-8 | | 18x=-108 | | 8=-8x+4(4+2x) | | 49t^2-14t+1=0 | | y=2.5x+5 | | -6+2n=n-4 | | k^2-5=4k | | 13x^2=104 | | 13x^2=104 | | 3n-2=25-2 | | 3x-5x+4=6x-2-3x | | 3n-2+2=25 | | 20x+5y= | | x+4=2x | | a^2+6=-7a | | k^2-25k+16=0 | | 18c-3=0 |

Equations solver categories