p^2+8p-10=0

Simple and best practice solution for p^2+8p-10=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+8p-10=0 equation:


Simplifying
p2 + 8p + -10 = 0

Reorder the terms:
-10 + 8p + p2 = 0

Solving
-10 + 8p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '10' to each side of the equation.
-10 + 8p + 10 + p2 = 0 + 10

Reorder the terms:
-10 + 10 + 8p + p2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 8p + p2 = 0 + 10
8p + p2 = 0 + 10

Combine like terms: 0 + 10 = 10
8p + p2 = 10

The p term is 8p.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8p + 16 + p2 = 10 + 16

Reorder the terms:
16 + 8p + p2 = 10 + 16

Combine like terms: 10 + 16 = 26
16 + 8p + p2 = 26

Factor a perfect square on the left side:
(p + 4)(p + 4) = 26

Calculate the square root of the right side: 5.099019514

Break this problem into two subproblems by setting 
(p + 4) equal to 5.099019514 and -5.099019514.

Subproblem 1

p + 4 = 5.099019514 Simplifying p + 4 = 5.099019514 Reorder the terms: 4 + p = 5.099019514 Solving 4 + p = 5.099019514 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + p = 5.099019514 + -4 Combine like terms: 4 + -4 = 0 0 + p = 5.099019514 + -4 p = 5.099019514 + -4 Combine like terms: 5.099019514 + -4 = 1.099019514 p = 1.099019514 Simplifying p = 1.099019514

Subproblem 2

p + 4 = -5.099019514 Simplifying p + 4 = -5.099019514 Reorder the terms: 4 + p = -5.099019514 Solving 4 + p = -5.099019514 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + p = -5.099019514 + -4 Combine like terms: 4 + -4 = 0 0 + p = -5.099019514 + -4 p = -5.099019514 + -4 Combine like terms: -5.099019514 + -4 = -9.099019514 p = -9.099019514 Simplifying p = -9.099019514

Solution

The solution to the problem is based on the solutions from the subproblems. p = {1.099019514, -9.099019514}

See similar equations:

| 19a-3(a+1)=25 | | -4+2=-2(3y+3) | | x+3y=2.70 | | -5(4n+3)-4=81 | | 7x-51+8x+21=180 | | 31+3x=6-2x | | w/(-9)+7=10 | | (3x-8)(3x-8)=49 | | 7x-57+6x+34=159 | | 5(x-1)=3x+59 | | 3c+1-4=13 | | 3/4k-6=-1 | | 19a-3(x+1)=25 | | 1/2x-8=0 | | 13=tover-7 | | 10-6y=10+6y | | 3x-15+2x+30=80 | | 58=n+3(1+4n) | | -1/2b=11 | | 4.5(x-2)=-0.5x+21 | | -6u+15=3x | | 8m^2+40m=0 | | 9x-91+6x+76=180 | | 2r+3+9r=21 | | 4.5(x-2)=0.5x+21 | | 15s^2-20s=0 | | 5x-7=2(3x-1) | | 350=-700 | | 3x+2x-5=x+15 | | -8x/-2 | | x/3+2m=19 | | y=0.25x^2+0.5x+1 |

Equations solver categories