p^2+22p+17=0

Simple and best practice solution for p^2+22p+17=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 p^2+22p+17=0 equation: 


Simplifying
p2 + 22p + 17 = 0

Reorder the terms:
17 + 22p + p2 = 0

Solving
17 + 22p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + 22p + -17 + p2 = 0 + -17

Reorder the terms:
17 + -17 + 22p + p2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 22p + p2 = 0 + -17
22p + p2 = 0 + -17

Combine like terms: 0 + -17 = -17
22p + p2 = -17

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

Add '121' to each side of the equation.
22p + 121 + p2 = -17 + 121

Reorder the terms:
121 + 22p + p2 = -17 + 121

Combine like terms: -17 + 121 = 104
121 + 22p + p2 = 104

Factor a perfect square on the left side:
(p + 11)(p + 11) = 104

Calculate the square root of the right side: 10.198039027

Break this problem into two subproblems by setting 
(p + 11) equal to 10.198039027 and -10.198039027.


Subproblem 1
p + 11 = 10.198039027

Simplifying
p + 11 = 10.198039027

Reorder the terms:
11 + p = 10.198039027

Solving
11 + p = 10.198039027

Solving for variable 'p'.

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

Add '-11' to each side of the equation.
11 + -11 + p = 10.198039027 + -11

Combine like terms: 11 + -11 = 0
0 + p = 10.198039027 + -11
p = 10.198039027 + -11

Combine like terms: 10.198039027 + -11 = -0.801960973
p = -0.801960973

Simplifying
p = -0.801960973


Subproblem 2
p + 11 = -10.198039027

Simplifying
p + 11 = -10.198039027

Reorder the terms:
11 + p = -10.198039027

Solving
11 + p = -10.198039027

Solving for variable 'p'.

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

Add '-11' to each side of the equation.
11 + -11 + p = -10.198039027 + -11

Combine like terms: 11 + -11 = 0
0 + p = -10.198039027 + -11
p = -10.198039027 + -11

Combine like terms: -10.198039027 + -11 = -21.198039027
p = -21.198039027

Simplifying
p = -21.198039027


Solution
The solution to the problem is based on the solutions
from the subproblems.
p = {-0.801960973, -21.198039027}

See similar equations:

| 42x-16=20x+72 | | e^3x-1=3 | | 2x^2+y^2-4x-4y-7=0 | | x^2+x^2-20x+100=64 | | -7(20x+44)=28(49+5x) | | .8X=50000 | | f=4+-3x | | d^2+12d=-35 | | Sinx=8/(12.5) | | 6+5x=5-12x | | x/3-4=24 | | y^2-26y+17=0 | | 22h+9=149 | | 19x-13=11x+36 | | 3(3y-8)=10 | | y=.5x+.02 | | r+x=10 | | 20+9=149 | | 3/4(t)-5/8=1/2(t)-1/4 | | 2x^2-20x+164=0 | | 4sin(3x)=-1/2 | | X^3-3x^2+3x-10=0 | | 4x=48+2x | | 2/3(6n-9)=1/2(4-8n) | | 27=-y/3 | | 42x+16=20x+72 | | 3w-2=10w+12 | | 5t+1+5= | | a/b=12/19 | | 2x=71 | | cotx=5 | | 6k^2+6k-5=0 |

Equations solver categories