2x^2+16x+22=0

Simple and best practice solution for 2x^2+16x+22=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+22=0 equation: 


Simplifying
2x2 + 16x + 22 = 0

Reorder the terms:
22 + 16x + 2x2 = 0

Solving
22 + 16x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(11 + 8x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(11 + 8x + x2)' equal to zero and attempt to solve:

Simplifying
11 + 8x + x2 = 0

Solving
11 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 8x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + 8x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 8x + x2 = 0 + -11
8x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
8x + x2 = -11

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 = -11 + 16

Reorder the terms:
16 + 8x + x2 = -11 + 16

Combine like terms: -11 + 16 = 5
16 + 8x + x2 = 5

Factor a perfect square on the left side:
(x + 4)(x + 4) = 5

Calculate the square root of the right side: 2.236067978

Break this problem into two subproblems by setting 
(x + 4) equal to 2.236067978 and -2.236067978.


Subproblem 1
x + 4 = 2.236067978

Simplifying
x + 4 = 2.236067978

Reorder the terms:
4 + x = 2.236067978

Solving
4 + x = 2.236067978

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 = 2.236067978 + -4

Combine like terms: 4 + -4 = 0
0 + x = 2.236067978 + -4
x = 2.236067978 + -4

Combine like terms: 2.236067978 + -4 = -1.763932022
x = -1.763932022

Simplifying
x = -1.763932022


Subproblem 2
x + 4 = -2.236067978

Simplifying
x + 4 = -2.236067978

Reorder the terms:
4 + x = -2.236067978

Solving
4 + x = -2.236067978

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 = -2.236067978 + -4

Combine like terms: 4 + -4 = 0
0 + x = -2.236067978 + -4
x = -2.236067978 + -4

Combine like terms: -2.236067978 + -4 = -6.236067978
x = -6.236067978

Simplifying
x = -6.236067978


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.763932022, -6.236067978}
Solution
x = {-1.763932022, -6.236067978}

See similar equations:

| (6x+6)/(x-1)=12 | | -6(-4k+8)-8k=-37+5k | | W+0.4=0.3 | | 19(v+4)-3v=4(4v+4)-22 | | 1/2x+4/5x=2 | | -6(v+3)+2v+6=6v+8 | | 4(4-2x)+x=-7+23 | | 2a+b=c-ad | | 6x+8y=-22 | | -2x+10+7x=-5 | | 220-6x=30x+20 | | X^2+27x+50=0 | | -4=-4+b | | -9=-.5x-5 | | V-5/6=-2/3 | | -31-10x=7x+22 | | -9x=-.5x-5 | | 3w^2-8w+4= | | -5=5+B | | 34-16= | | 5x-2=9-x | | 1-2x=1/3 | | 6x-2y=-12 | | lx+5l=-2 | | 2x+7x+3= | | 3+13=83-4x | | -.5x-5=-9x | | -2(x-1)-7=5 | | -44=-4a | | [n-10]*9=18 | | 6=-7v+4(v-6) | | -4+3x-2=2x+3+2x |

Equations solver categories