2x^2-16x+16=0

Simple and best practice solution for 2x^2-16x+16=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^2-16x+16=0 equation: 


Simplifying
2x2 + -16x + 16 = 0

Reorder the terms:
16 + -16x + 2x2 = 0

Solving
16 + -16x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -8x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + -8x + x2)' equal to zero and attempt to solve:

Simplifying
8 + -8x + x2 = 0

Solving
8 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -8x + -8 + x2 = 0 + -8

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

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

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

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -8 + 16

Reorder the terms:
16 + -8x + x2 = -8 + 16

Combine like terms: -8 + 16 = 8
16 + -8x + x2 = 8

Factor a perfect square on the left side:
(x + -4)(x + -4) = 8

Calculate the square root of the right side: 2.828427125

Break this problem into two subproblems by setting 
(x + -4) equal to 2.828427125 and -2.828427125.


Subproblem 1
x + -4 = 2.828427125

Simplifying
x + -4 = 2.828427125

Reorder the terms:
-4 + x = 2.828427125

Solving
-4 + x = 2.828427125

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = 2.828427125 + 4

Combine like terms: -4 + 4 = 0
0 + x = 2.828427125 + 4
x = 2.828427125 + 4

Combine like terms: 2.828427125 + 4 = 6.828427125
x = 6.828427125

Simplifying
x = 6.828427125


Subproblem 2
x + -4 = -2.828427125

Simplifying
x + -4 = -2.828427125

Reorder the terms:
-4 + x = -2.828427125

Solving
-4 + x = -2.828427125

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = -2.828427125 + 4

Combine like terms: -4 + 4 = 0
0 + x = -2.828427125 + 4
x = -2.828427125 + 4

Combine like terms: -2.828427125 + 4 = 1.171572875
x = 1.171572875

Simplifying
x = 1.171572875


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.828427125, 1.171572875}
Solution
x = {6.828427125, 1.171572875}

See similar equations:

| ln(ln(x))=0 | | 3x+9y=357 | | 3(x+1)=10+2x | | 5f=30 | | 0=-5x^2+20x+2 | | 2t=16 | | 9X-11=-56 | | 3c(c-d)= | | 2(x-10)=7x-25 | | 3a(a+5)= | | x-3x+6=3x-2x | | 3e-e=6 | | x+23*17=399 | | 9(x+9)=8x+83 | | 5x-11y=29 | | n(7+9)= | | 5x-11x=29 | | 125=.25x+x | | a(a+2)= | | 3w-2(6z-4w)+4z= | | 12+2(5x-8)=0 | | 150=0.25x+x | | 3(x+8)=4x+24 | | 500=0.25x+x | | (x-8)2=6 | | 5-5=-3 | | 3a-1+4=6 | | 9(x+9)=3x+81 | | 10(x-1)=5x-5 | | 5(3s-2)=3s+14 | | 5(3s-2)=3s+4 | | 9.6=6w |

Equations solver categories