2X^2-12X-128=0

Simple and best practice solution for 2X^2-12X-128=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^2-12X-128=0 equation: 


Simplifying
2X2 + -12X + -128 = 0

Reorder the terms:
-128 + -12X + 2X2 = 0

Solving
-128 + -12X + 2X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-64 + -6X + X2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-64 + -6X + X2)' equal to zero and attempt to solve:

Simplifying
-64 + -6X + X2 = 0

Solving
-64 + -6X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '64' to each side of the equation.
-64 + -6X + 64 + X2 = 0 + 64

Reorder the terms:
-64 + 64 + -6X + X2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + -6X + X2 = 0 + 64
-6X + X2 = 0 + 64

Combine like terms: 0 + 64 = 64
-6X + X2 = 64

The X term is -6X.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6X + 9 + X2 = 64 + 9

Reorder the terms:
9 + -6X + X2 = 64 + 9

Combine like terms: 64 + 9 = 73
9 + -6X + X2 = 73

Factor a perfect square on the left side:
(X + -3)(X + -3) = 73

Calculate the square root of the right side: 8.544003745

Break this problem into two subproblems by setting 
(X + -3) equal to 8.544003745 and -8.544003745.


Subproblem 1
X + -3 = 8.544003745

Simplifying
X + -3 = 8.544003745

Reorder the terms:
-3 + X = 8.544003745

Solving
-3 + X = 8.544003745

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + 3 + X = 8.544003745 + 3

Combine like terms: -3 + 3 = 0
0 + X = 8.544003745 + 3
X = 8.544003745 + 3

Combine like terms: 8.544003745 + 3 = 11.544003745
X = 11.544003745

Simplifying
X = 11.544003745


Subproblem 2
X + -3 = -8.544003745

Simplifying
X + -3 = -8.544003745

Reorder the terms:
-3 + X = -8.544003745

Solving
-3 + X = -8.544003745

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + 3 + X = -8.544003745 + 3

Combine like terms: -3 + 3 = 0
0 + X = -8.544003745 + 3
X = -8.544003745 + 3

Combine like terms: -8.544003745 + 3 = -5.544003745
X = -5.544003745

Simplifying
X = -5.544003745


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {11.544003745, -5.544003745}
Solution
X = {11.544003745, -5.544003745}

See similar equations:

| n^2+70n+10800=0 | | 20X^2-182X-200=0 | | d+f= | | b+b=b+10 | | b+b=b+5 | | -4(2t+7)=-60 | | 7/3z-6=-2 | | 4(f-10)=-20 | | x/10-5=3 | | (3x+7)+(-4x-2)= | | (x+5)*5=60 | | 3(4s+6)=90 | | (u-9)*9=45 | | (q-8)*6=18 | | (e+4)*4=28 | | 4z/10-1=2 | | 14+7=-14 | | z/9-3=2 | | 5c*8e= | | 14-4[3+3(8-5)]= | | 6s+22=82 | | x/6-2=14 | | 2+7(3.8-1.4)= | | -7x+5y-6y+8x= | | -50x^9/25x^6 | | 3a-(2a-5)=30 | | 3x+3=15+0x | | x^2-3x-15= | | -1-7x=3+2x | | a^3+2=11 | | 48-5x= | | x^3-x^2-x-4=0 |

Equations solver categories