3p^2-6p-2=0

Simple and best practice solution for 3p^2-6p-2=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^2-6p-2=0 equation:


Simplifying
3p2 + -6p + -2 = 0

Reorder the terms:
-2 + -6p + 3p2 = 0

Solving
-2 + -6p + 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'.
-0.6666666667 + -2p + p2 = 0

Move the constant term to the right:

Add '0.6666666667' to each side of the equation.
-0.6666666667 + -2p + 0.6666666667 + p2 = 0 + 0.6666666667

Reorder the terms:
-0.6666666667 + 0.6666666667 + -2p + p2 = 0 + 0.6666666667

Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000
0.0000000000 + -2p + p2 = 0 + 0.6666666667
-2p + p2 = 0 + 0.6666666667

Combine like terms: 0 + 0.6666666667 = 0.6666666667
-2p + p2 = 0.6666666667

The p term is -2p.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2p + 1 + p2 = 0.6666666667 + 1

Reorder the terms:
1 + -2p + p2 = 0.6666666667 + 1

Combine like terms: 0.6666666667 + 1 = 1.6666666667
1 + -2p + p2 = 1.6666666667

Factor a perfect square on the left side:
(p + -1)(p + -1) = 1.6666666667

Calculate the square root of the right side: 1.290994449

Break this problem into two subproblems by setting 
(p + -1) equal to 1.290994449 and -1.290994449.

Subproblem 1

p + -1 = 1.290994449 Simplifying p + -1 = 1.290994449 Reorder the terms: -1 + p = 1.290994449 Solving -1 + p = 1.290994449 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + p = 1.290994449 + 1 Combine like terms: -1 + 1 = 0 0 + p = 1.290994449 + 1 p = 1.290994449 + 1 Combine like terms: 1.290994449 + 1 = 2.290994449 p = 2.290994449 Simplifying p = 2.290994449

Subproblem 2

p + -1 = -1.290994449 Simplifying p + -1 = -1.290994449 Reorder the terms: -1 + p = -1.290994449 Solving -1 + p = -1.290994449 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + p = -1.290994449 + 1 Combine like terms: -1 + 1 = 0 0 + p = -1.290994449 + 1 p = -1.290994449 + 1 Combine like terms: -1.290994449 + 1 = -0.290994449 p = -0.290994449 Simplifying p = -0.290994449

Solution

The solution to the problem is based on the solutions from the subproblems. p = {2.290994449, -0.290994449}

See similar equations:

| x+20+4x=-40 | | 5h-53=12 | | -9.3w=-19.76-16.9 | | -2x-10y=-4 | | 3.6j+17.76=7.44+2.4j | | .4(x+40)+.2(80)= | | 12x+12+5x+10=180 | | -x+9=-2x+1 | | -3n+5=-13 | | 4y=3y+14 | | 16.2q-17.1-19.1q=9.42-1.2q | | 5x+5y=-50 | | 10t-5= | | 2x-4+3x-2=4x-16 | | 8(x-5)=7(x-12) | | 19+15h=4+16h | | 20m-16=19m | | -4g+2(-3+2g)=1-g | | y=3cosx-2 | | 10x-(5-3x)=34 | | 2(6x+6)+5y+10=180 | | 9xsquared-4=0 | | 5z-1+7z=-11+14z | | 18+x-3=7 | | (40x^8y^6/20x^4y^12)^2 | | 6(2x-1)-x(1-2x)=0 | | 9k-2=53 | | 1980=304+24x | | w^2-16w=0 | | -u=8+u | | 84.65=78.5d+76.8 | | 12x+19y=3 |

Equations solver categories