2x^2-44x-16=0

Simple and best practice solution for 2x^2-44x-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^2-44x-16=0 equation: 


Simplifying
2x2 + -44x + -16 = 0

Reorder the terms:
-16 + -44x + 2x2 = 0

Solving
-16 + -44x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -22x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + -22x + x2)' equal to zero and attempt to solve:

Simplifying
-8 + -22x + x2 = 0

Solving
-8 + -22x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + -22x + 8 + x2 = 0 + 8

Reorder the terms:
-8 + 8 + -22x + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -22x + x2 = 0 + 8
-22x + x2 = 0 + 8

Combine like terms: 0 + 8 = 8
-22x + x2 = 8

The x term is -22x.  Take half its coefficient (-11).
Square it (121) and add it to both sides.

Add '121' to each side of the equation.
-22x + 121 + x2 = 8 + 121

Reorder the terms:
121 + -22x + x2 = 8 + 121

Combine like terms: 8 + 121 = 129
121 + -22x + x2 = 129

Factor a perfect square on the left side:
(x + -11)(x + -11) = 129

Calculate the square root of the right side: 11.357816692

Break this problem into two subproblems by setting 
(x + -11) equal to 11.357816692 and -11.357816692.


Subproblem 1
x + -11 = 11.357816692

Simplifying
x + -11 = 11.357816692

Reorder the terms:
-11 + x = 11.357816692

Solving
-11 + x = 11.357816692

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + x = 11.357816692 + 11

Combine like terms: -11 + 11 = 0
0 + x = 11.357816692 + 11
x = 11.357816692 + 11

Combine like terms: 11.357816692 + 11 = 22.357816692
x = 22.357816692

Simplifying
x = 22.357816692


Subproblem 2
x + -11 = -11.357816692

Simplifying
x + -11 = -11.357816692

Reorder the terms:
-11 + x = -11.357816692

Solving
-11 + x = -11.357816692

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + x = -11.357816692 + 11

Combine like terms: -11 + 11 = 0
0 + x = -11.357816692 + 11
x = -11.357816692 + 11

Combine like terms: -11.357816692 + 11 = -0.357816692
x = -0.357816692

Simplifying
x = -0.357816692


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {22.357816692, -0.357816692}
Solution
x = {22.357816692, -0.357816692}

See similar equations:

| 5k-6/-66 | | r+6=1 | | 5^2(2)^10/10(2)^3 | | 4y-2y-4=-1+13 | | 6=x-(-7) | | -x+4x=-7 | | kover-8=-6 | | 4t+4=6(12+5t) | | -9-v=-1 | | (1/12)*408 | | n-(-10)=16 | | Y=100+2x-15lnx | | 1/12*408 | | a-(-8)=15 | | 3t+8(2t+6)=2+14t | | -3x+5-2x=30 | | a-3+2=16 | | 12/408 | | 408/12 | | i/-4-9i | | x/12=408 | | 0.5x-3+2.5x=x+1 | | 30s+6=-10s-4 | | 72=8h | | 2(5-2w)+2w=26 | | 2(2y-12)=0 | | 2x+(x+2)=50 | | 6x+29=5(1+6x) | | y=5/2x-1 | | .4x-8=9-.6x | | a*3+2=16 | | (5x+7)(x+8)= |

Equations solver categories