3p^2+12p-19=0

Simple and best practice solution for 3p^2+12p-19=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+12p-19=0 equation: 


Simplifying
3p2 + 12p + -19 = 0

Reorder the terms:
-19 + 12p + 3p2 = 0

Solving
-19 + 12p + 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'.
-6.333333333 + 4p + p2 = 0

Move the constant term to the right:

Add '6.333333333' to each side of the equation.
-6.333333333 + 4p + 6.333333333 + p2 = 0 + 6.333333333

Reorder the terms:
-6.333333333 + 6.333333333 + 4p + p2 = 0 + 6.333333333

Combine like terms: -6.333333333 + 6.333333333 = 0.000000000
0.000000000 + 4p + p2 = 0 + 6.333333333
4p + p2 = 0 + 6.333333333

Combine like terms: 0 + 6.333333333 = 6.333333333
4p + p2 = 6.333333333

The p term is 4p.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4p + 4 + p2 = 6.333333333 + 4

Reorder the terms:
4 + 4p + p2 = 6.333333333 + 4

Combine like terms: 6.333333333 + 4 = 10.333333333
4 + 4p + p2 = 10.333333333

Factor a perfect square on the left side:
(p + 2)(p + 2) = 10.333333333

Calculate the square root of the right side: 3.214550254

Break this problem into two subproblems by setting 
(p + 2) equal to 3.214550254 and -3.214550254.


Subproblem 1
p + 2 = 3.214550254

Simplifying
p + 2 = 3.214550254

Reorder the terms:
2 + p = 3.214550254

Solving
2 + p = 3.214550254

Solving for variable 'p'.

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

Add '-2' to each side of the equation.
2 + -2 + p = 3.214550254 + -2

Combine like terms: 2 + -2 = 0
0 + p = 3.214550254 + -2
p = 3.214550254 + -2

Combine like terms: 3.214550254 + -2 = 1.214550254
p = 1.214550254

Simplifying
p = 1.214550254


Subproblem 2
p + 2 = -3.214550254

Simplifying
p + 2 = -3.214550254

Reorder the terms:
2 + p = -3.214550254

Solving
2 + p = -3.214550254

Solving for variable 'p'.

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

Add '-2' to each side of the equation.
2 + -2 + p = -3.214550254 + -2

Combine like terms: 2 + -2 = 0
0 + p = -3.214550254 + -2
p = -3.214550254 + -2

Combine like terms: -3.214550254 + -2 = -5.214550254
p = -5.214550254

Simplifying
p = -5.214550254


Solution
The solution to the problem is based on the solutions
from the subproblems.
p = {1.214550254, -5.214550254}

See similar equations:

| 2.5r+4=21.50 | | A*2-7a+c=0 | | 1/4(8)=p | | (3x-10)+(2x-10)= | | xo=3x+44 | | 3p^2+12p=19 | | -10+2(3m+5)=18 | | 180=7x-16 | | -16t^2+40=22 | | 1/2d=25 | | -8-3x=2x-6 | | 8-54*55= | | 1.6+a=2.1 | | 2/3(×-2)=4× | | c^3-8c^2+16c= | | X/y=49 | | 3/4s-[6-3/4s] | | 143.6/9.5 | | 2x+3(10)-9=0 | | x^2-9ln(2y-1)+y^2=5 | | (x+17)+y=253 | | 2x-9+6x=3(x+7) | | 6x+1x=7x | | 2u=3u-73 | | 14x^2-155x+11=0 | | -3(k-1)-8k=-8(k-3) | | y=x(x^2+12x+59) | | 29-8+7-4= | | -0.63/0.7 | | 5x+6=7x+14 | | 4+5+-2x+6x+3y+-2y= | | 9-5x-x=-33 |

Equations solver categories