2x^2+20x+44=0

Simple and best practice solution for 2x^2+20x+44=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+20x+44=0 equation: 


Simplifying
2x2 + 20x + 44 = 0

Reorder the terms:
44 + 20x + 2x2 = 0

Solving
44 + 20x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(22 + 10x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(22 + 10x + x2)' equal to zero and attempt to solve:

Simplifying
22 + 10x + x2 = 0

Solving
22 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + 10x + -22 + x2 = 0 + -22

Reorder the terms:
22 + -22 + 10x + x2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 10x + x2 = 0 + -22
10x + x2 = 0 + -22

Combine like terms: 0 + -22 = -22
10x + x2 = -22

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -22 + 25

Reorder the terms:
25 + 10x + x2 = -22 + 25

Combine like terms: -22 + 25 = 3
25 + 10x + x2 = 3

Factor a perfect square on the left side:
(x + 5)(x + 5) = 3

Calculate the square root of the right side: 1.732050808

Break this problem into two subproblems by setting 
(x + 5) equal to 1.732050808 and -1.732050808.


Subproblem 1
x + 5 = 1.732050808

Simplifying
x + 5 = 1.732050808

Reorder the terms:
5 + x = 1.732050808

Solving
5 + x = 1.732050808

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = 1.732050808 + -5

Combine like terms: 5 + -5 = 0
0 + x = 1.732050808 + -5
x = 1.732050808 + -5

Combine like terms: 1.732050808 + -5 = -3.267949192
x = -3.267949192

Simplifying
x = -3.267949192


Subproblem 2
x + 5 = -1.732050808

Simplifying
x + 5 = -1.732050808

Reorder the terms:
5 + x = -1.732050808

Solving
5 + x = -1.732050808

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = -1.732050808 + -5

Combine like terms: 5 + -5 = 0
0 + x = -1.732050808 + -5
x = -1.732050808 + -5

Combine like terms: -1.732050808 + -5 = -6.732050808
x = -6.732050808

Simplifying
x = -6.732050808


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-3.267949192, -6.732050808}
Solution
x = {-3.267949192, -6.732050808}

See similar equations:

| 3x^4+12x^3+27x=0 | | 3(y-1)=-(y-5) | | 3=x+8 | | 15-x=12 | | 7x-20=5x+4 | | x^4-3x^2+3x-1=0 | | 22+3x-(2x-17)=65 | | x^6-3x^4+3x^2-1=0 | | 2x^4+5x^3+4x^2+5x+2=0 | | x^6-3x^4+3x-1=0 | | 64x^6+1= | | 29+2x-(6x-76)=4 | | 3p-20=7p | | 2x+7=-36 | | 3x+34-(2x+1)=53 | | 16x^2+7x+4=0 | | 123-23= | | 2x+8+3+2x=55 | | 11x-5x=36 | | x-2*-1=2 | | 7=343 | | x-2*0=2 | | -2x^3+164x=35x | | -2x^3+129=0 | | -4-2y=2 | | 2x^3-129=0 | | 2y^2+5y=12 | | 5(x+1)=30 | | 16m^2-8m+1=0 | | 2x+5=100 | | (5y+8)(3y+20)=0 | | 10-2x=42 |

Equations solver categories