8p^2-16p-10=9

Simple and best practice solution for 8p^2-16p-10=9 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 8p^2-16p-10=9 equation:


Simplifying
8p2 + -16p + -10 = 9

Reorder the terms:
-10 + -16p + 8p2 = 9

Solving
-10 + -16p + 8p2 = 9

Solving for variable 'p'.

Reorder the terms:
-10 + -9 + -16p + 8p2 = 9 + -9

Combine like terms: -10 + -9 = -19
-19 + -16p + 8p2 = 9 + -9

Combine like terms: 9 + -9 = 0
-19 + -16p + 8p2 = 0

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

Divide each side by '8'.
-2.375 + -2p + p2 = 0

Move the constant term to the right:

Add '2.375' to each side of the equation.
-2.375 + -2p + 2.375 + p2 = 0 + 2.375

Reorder the terms:
-2.375 + 2.375 + -2p + p2 = 0 + 2.375

Combine like terms: -2.375 + 2.375 = 0.000
0.000 + -2p + p2 = 0 + 2.375
-2p + p2 = 0 + 2.375

Combine like terms: 0 + 2.375 = 2.375
-2p + p2 = 2.375

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 = 2.375 + 1

Reorder the terms:
1 + -2p + p2 = 2.375 + 1

Combine like terms: 2.375 + 1 = 3.375
1 + -2p + p2 = 3.375

Factor a perfect square on the left side:
(p + -1)(p + -1) = 3.375

Calculate the square root of the right side: 1.837117307

Break this problem into two subproblems by setting 
(p + -1) equal to 1.837117307 and -1.837117307.

Subproblem 1

p + -1 = 1.837117307 Simplifying p + -1 = 1.837117307 Reorder the terms: -1 + p = 1.837117307 Solving -1 + p = 1.837117307 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 = 1.837117307 + 1 Combine like terms: -1 + 1 = 0 0 + p = 1.837117307 + 1 p = 1.837117307 + 1 Combine like terms: 1.837117307 + 1 = 2.837117307 p = 2.837117307 Simplifying p = 2.837117307

Subproblem 2

p + -1 = -1.837117307 Simplifying p + -1 = -1.837117307 Reorder the terms: -1 + p = -1.837117307 Solving -1 + p = -1.837117307 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 = -1.837117307 + 1 Combine like terms: -1 + 1 = 0 0 + p = -1.837117307 + 1 p = -1.837117307 + 1 Combine like terms: -1.837117307 + 1 = -0.837117307 p = -0.837117307 Simplifying p = -0.837117307

Solution

The solution to the problem is based on the solutions from the subproblems. p = {2.837117307, -0.837117307}

See similar equations:

| 5(4x+3)= | | (32x-24y)+(50x+50y)= | | (25x-5y)+(34x+54y)= | | 7(3x+5)-17= | | 15(5+6x)+17= | | 0.75(80-x)+0.5(20+2x)=13+5x | | -6.5=-1.3 | | 70000=266/0,11-a | | 3(3w-4)=-20 | | -52=-52 | | 3(6z-1)-3(z+4)=8(z+1) | | 3y-18=9x | | 6(x-6)+3x= | | 2c+6=-8 | | -3+17+12z=11 | | x(2x+5)=1 | | -3+7+12z=11 | | -2(5n+1)=4 | | 4-3y=7 | | 8(s-3)=24 | | 5x-6(x+3)=17 | | 2x^3-7x^2-15x=0 | | 7.8=n+6.6 | | 3(5-y)-33=31y-6(3+4y) | | 24n^3=6n | | 72+5x=7x+24 | | M+5=11 | | 2(8-6x)=56 | | y(y+2)= | | 5x+14=113-6x | | 102=5y+17 | | X^4-5x^3+2=-28x+34 |

Equations solver categories