p^2+16p-22=0

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


Simplifying
p2 + 16p + -22 = 0

Reorder the terms:
-22 + 16p + p2 = 0

Solving
-22 + 16p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '22' to each side of the equation.
-22 + 16p + 22 + p2 = 0 + 22

Reorder the terms:
-22 + 22 + 16p + p2 = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 16p + p2 = 0 + 22
16p + p2 = 0 + 22

Combine like terms: 0 + 22 = 22
16p + p2 = 22

The p term is 16p.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16p + 64 + p2 = 22 + 64

Reorder the terms:
64 + 16p + p2 = 22 + 64

Combine like terms: 22 + 64 = 86
64 + 16p + p2 = 86

Factor a perfect square on the left side:
(p + 8)(p + 8) = 86

Calculate the square root of the right side: 9.273618495

Break this problem into two subproblems by setting 
(p + 8) equal to 9.273618495 and -9.273618495.


Subproblem 1
p + 8 = 9.273618495

Simplifying
p + 8 = 9.273618495

Reorder the terms:
8 + p = 9.273618495

Solving
8 + p = 9.273618495

Solving for variable 'p'.

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

Add '-8' to each side of the equation.
8 + -8 + p = 9.273618495 + -8

Combine like terms: 8 + -8 = 0
0 + p = 9.273618495 + -8
p = 9.273618495 + -8

Combine like terms: 9.273618495 + -8 = 1.273618495
p = 1.273618495

Simplifying
p = 1.273618495


Subproblem 2
p + 8 = -9.273618495

Simplifying
p + 8 = -9.273618495

Reorder the terms:
8 + p = -9.273618495

Solving
8 + p = -9.273618495

Solving for variable 'p'.

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

Add '-8' to each side of the equation.
8 + -8 + p = -9.273618495 + -8

Combine like terms: 8 + -8 = 0
0 + p = -9.273618495 + -8
p = -9.273618495 + -8

Combine like terms: -9.273618495 + -8 = -17.273618495
p = -17.273618495

Simplifying
p = -17.273618495


Solution
The solution to the problem is based on the solutions
from the subproblems.
p = {1.273618495, -17.273618495}

See similar equations:

| x-8.6=-6.6 | | m+39=15 | | (h-3)(h^2+2h-8)= | | n=6n | | 8x=x-63 | | 8u^2+3u=0 | | n^22+n-12=0 | | x+8+4x+3=201 | | 3x+5=-2x-6 | | k^22-3k-10=0 | | 2y-3+4y=10y+1 | | 7b+2c-3b= | | x+10=3x-11 | | 5e-6e+2e= | | X+10=3x-18 | | 5e+6e+2e= | | 2x+4=5x+11 | | 6x+16=49 | | -4+10= | | -2*(-3*-3)= | | -x-8=-2x+1 | | 4x+12=-2 | | (x-4)(x^2+17x+72)=0 | | 8x+8=7x+1 | | 3s-4=5+4s | | 4n-12=-20+5n | | 4(3+6x)-1=35 | | 2x+2(4)=32 | | 8(2x-2)=48 | | 1=x+y | | 5x-16=-10+6x | | 8r-28=-64+2r |

Equations solver categories