3p^2+18p+5=0

Simple and best practice solution for 3p^2+18p+5=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 3p^2+18p+5=0 equation: 


Simplifying
3p2 + 18p + 5 = 0

Reorder the terms:
5 + 18p + 3p2 = 0

Solving
5 + 18p + 3p2 = 0

Solving for variable 'p'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
1.666666667 + 6p + p2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + 6p + -1.666666667 + p2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + 6p + p2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + 6p + p2 = 0 + -1.666666667
6p + p2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
6p + p2 = -1.666666667

The p term is 6p.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6p + 9 + p2 = -1.666666667 + 9

Reorder the terms:
9 + 6p + p2 = -1.666666667 + 9

Combine like terms: -1.666666667 + 9 = 7.333333333
9 + 6p + p2 = 7.333333333

Factor a perfect square on the left side:
(p + 3)(p + 3) = 7.333333333

Calculate the square root of the right side: 2.708012801

Break this problem into two subproblems by setting 
(p + 3) equal to 2.708012801 and -2.708012801.


Subproblem 1
p + 3 = 2.708012801

Simplifying
p + 3 = 2.708012801

Reorder the terms:
3 + p = 2.708012801

Solving
3 + p = 2.708012801

Solving for variable 'p'.

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

Add '-3' to each side of the equation.
3 + -3 + p = 2.708012801 + -3

Combine like terms: 3 + -3 = 0
0 + p = 2.708012801 + -3
p = 2.708012801 + -3

Combine like terms: 2.708012801 + -3 = -0.291987199
p = -0.291987199

Simplifying
p = -0.291987199


Subproblem 2
p + 3 = -2.708012801

Simplifying
p + 3 = -2.708012801

Reorder the terms:
3 + p = -2.708012801

Solving
3 + p = -2.708012801

Solving for variable 'p'.

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

Add '-3' to each side of the equation.
3 + -3 + p = -2.708012801 + -3

Combine like terms: 3 + -3 = 0
0 + p = -2.708012801 + -3
p = -2.708012801 + -3

Combine like terms: -2.708012801 + -3 = -5.708012801
p = -5.708012801

Simplifying
p = -5.708012801


Solution
The solution to the problem is based on the solutions
from the subproblems.
p = {-0.291987199, -5.708012801}

See similar equations:

| 4y-16x=1 | | 2x-3(x-7)=9-5x | | 7w-4w-w-1=17 | | 7w+4w+w-1=17 | | 3a-2a+4a-4a-1=3 | | -2(-6x+9)= | | 10m-8m+2m=12 | | A=BX(CX) | | 18h+3h-17h-3h-1=18 | | 14*(-18)-69= | | CX(BX)=A | | 13n-4n-8n+1=17 | | 17u-13u=8 | | 3w-3w+w=11 | | AX(BX)=C | | y^4+6y^3+18y^2+30y+25=0 | | 4b+5b-8b=15 | | 3j+5j+3j-10j=13 | | A=3x^2*4x^3 | | cot^2x-cotx-1=0 | | 4x+7y+21=0 | | 11k-k-6k-2k-k=17 | | -5*(-10)*(-5)= | | 0.5=k*0.8 | | 12n-6n-2n-4n+2n=14 | | 10-5y=2x | | 550000+55q=1400000+40q | | 36x^5y^7/18xy^7 | | 2h-h=8 | | 5x^2+80x+285=0 | | 4x+5=6-7x | | 4.25x-y=3 |

Equations solver categories