2(x^2-4x-508)=0

Simple and best practice solution for 2(x^2-4x-508)=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 2(x^2-4x-508)=0 equation: 


Simplifying
2(x2 + -4x + -508) = 0

Reorder the terms:
2(-508 + -4x + x2) = 0
(-508 * 2 + -4x * 2 + x2 * 2) = 0
(-1016 + -8x + 2x2) = 0

Solving
-1016 + -8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-508 + -4x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-508 + -4x + x2)' equal to zero and attempt to solve:

Simplifying
-508 + -4x + x2 = 0

Solving
-508 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '508' to each side of the equation.
-508 + -4x + 508 + x2 = 0 + 508

Reorder the terms:
-508 + 508 + -4x + x2 = 0 + 508

Combine like terms: -508 + 508 = 0
0 + -4x + x2 = 0 + 508
-4x + x2 = 0 + 508

Combine like terms: 0 + 508 = 508
-4x + x2 = 508

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 = 508 + 4

Reorder the terms:
4 + -4x + x2 = 508 + 4

Combine like terms: 508 + 4 = 512
4 + -4x + x2 = 512

Factor a perfect square on the left side:
(x + -2)(x + -2) = 512

Calculate the square root of the right side: 22.627416998

Break this problem into two subproblems by setting 
(x + -2) equal to 22.627416998 and -22.627416998.


Subproblem 1
x + -2 = 22.627416998

Simplifying
x + -2 = 22.627416998

Reorder the terms:
-2 + x = 22.627416998

Solving
-2 + x = 22.627416998

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 = 22.627416998 + 2

Combine like terms: -2 + 2 = 0
0 + x = 22.627416998 + 2
x = 22.627416998 + 2

Combine like terms: 22.627416998 + 2 = 24.627416998
x = 24.627416998

Simplifying
x = 24.627416998


Subproblem 2
x + -2 = -22.627416998

Simplifying
x + -2 = -22.627416998

Reorder the terms:
-2 + x = -22.627416998

Solving
-2 + x = -22.627416998

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 = -22.627416998 + 2

Combine like terms: -2 + 2 = 0
0 + x = -22.627416998 + 2
x = -22.627416998 + 2

Combine like terms: -22.627416998 + 2 = -20.627416998
x = -20.627416998

Simplifying
x = -20.627416998


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {24.627416998, -20.627416998}
Solution
x = {24.627416998, -20.627416998}

See similar equations:

| 871.9=1/3*3.14×49h | | -3k^2+42k-93=0 | | -[4z-(10z+5)]=5+(5z+9) | | 3(8x(5))=8 | | 0.4x-2.4=5.2 | | 2x+8y+6z=-4 | | 366-18x= | | 6y=(-6y)-12 | | -15a^5b^-3c/35a^-3b^2c^-2 | | N:n/8=9 | | 3t^2-6t=123 | | -8x-3=(-11x) | | -17=-7(2b+8) | | -5x+9=6x-13 | | D+2=-12 | | 7(17+y)+5y-2= | | 5x=3(-7x+5)+11 | | 2x+7y+3z=-7 | | 2x+6x^3=0 | | -10(1-6x)+4x=-5-5(1+8x) | | Y+124=180 | | f^2+6f=37 | | 8x-6y=-17 | | -21=0.6k | | 4(x-4)=6x-2-2x | | x^2+x-2970=0 | | 140=25t | | X+124=180 | | 4x(-4x-20)=5 | | 4n-8=108 | | 14x^2-67x+12=0 | | (9s+8)=0 |

Equations solver categories