P^2+18P-9=0

Simple and best practice solution for P^2+18P-9=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+18P-9=0 equation: 


Simplifying
P2 + 18P + -9 = 0

Reorder the terms:
-9 + 18P + P2 = 0

Solving
-9 + 18P + P2 = 0

Solving for variable 'P'.

Begin completing the square.

Move the constant term to the right:

Add '9' to each side of the equation.
-9 + 18P + 9 + P2 = 0 + 9

Reorder the terms:
-9 + 9 + 18P + P2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 18P + P2 = 0 + 9
18P + P2 = 0 + 9

Combine like terms: 0 + 9 = 9
18P + P2 = 9

The P term is 18P.  Take half its coefficient (9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
18P + 81 + P2 = 9 + 81

Reorder the terms:
81 + 18P + P2 = 9 + 81

Combine like terms: 9 + 81 = 90
81 + 18P + P2 = 90

Factor a perfect square on the left side:
(P + 9)(P + 9) = 90

Calculate the square root of the right side: 9.486832981

Break this problem into two subproblems by setting 
(P + 9) equal to 9.486832981 and -9.486832981.


Subproblem 1
P + 9 = 9.486832981

Simplifying
P + 9 = 9.486832981

Reorder the terms:
9 + P = 9.486832981

Solving
9 + P = 9.486832981

Solving for variable 'P'.

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

Add '-9' to each side of the equation.
9 + -9 + P = 9.486832981 + -9

Combine like terms: 9 + -9 = 0
0 + P = 9.486832981 + -9
P = 9.486832981 + -9

Combine like terms: 9.486832981 + -9 = 0.486832981
P = 0.486832981

Simplifying
P = 0.486832981


Subproblem 2
P + 9 = -9.486832981

Simplifying
P + 9 = -9.486832981

Reorder the terms:
9 + P = -9.486832981

Solving
9 + P = -9.486832981

Solving for variable 'P'.

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

Add '-9' to each side of the equation.
9 + -9 + P = -9.486832981 + -9

Combine like terms: 9 + -9 = 0
0 + P = -9.486832981 + -9
P = -9.486832981 + -9

Combine like terms: -9.486832981 + -9 = -18.486832981
P = -18.486832981

Simplifying
P = -18.486832981


Solution
The solution to the problem is based on the solutions
from the subproblems.
P = {0.486832981, -18.486832981}

See similar equations:

| 7a-a+5a-3a= | | 15x^2-30x+35=0 | | -(1-7x)=2(6+4x) | | -2(x-3)+10=-4(5-4x) | | 9x^2-10x+4=0 | | 9x^2-4=12 | | -7(1-7x)=39+3x | | ((3x-1)/5)-2=70 | | 6(1-2x)+5=-8x+39 | | -x^3+5x^2-8=0 | | Y3/2*-3 | | 5-5m=5m+45 | | -8(-2+8p)=16-4p | | -9=3(x+2) | | X^2+16=81 | | (3x-9)*(7z+11)= | | 3+6(3+2x)=9+8x | | 7n-13=18 | | 4.38X+3.41Y=75.93 | | 6(-5n+5)=240 | | -4+m^2+3m=0 | | -2x^2+9x+29=0 | | -3(6p-2)=4(2p+3)+4p | | z-7z=4z-1-2 | | -8(x+5)=-88 | | +(5)6x=22 | | -8(-6-2x)=144 | | 5/x=1000000 | | 44t-67y=4d | | 3(4x+2)=45 | | 5+6x=22 | | b(b^2-1)=0 |

Equations solver categories