p^2+8p+14=

Simple and best practice solution for p^2+8p+14= 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+14= equation:


Simplifying
p2 + 8p + 14 = 0

Reorder the terms:
14 + 8p + p2 = 0

Solving
14 + 8p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + 8p + -14 + p2 = 0 + -14

Reorder the terms:
14 + -14 + 8p + p2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 8p + p2 = 0 + -14
8p + p2 = 0 + -14

Combine like terms: 0 + -14 = -14
8p + p2 = -14

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 = -14 + 16

Reorder the terms:
16 + 8p + p2 = -14 + 16

Combine like terms: -14 + 16 = 2
16 + 8p + p2 = 2

Factor a perfect square on the left side:
(p + 4)(p + 4) = 2

Calculate the square root of the right side: 1.414213562

Break this problem into two subproblems by setting 
(p + 4) equal to 1.414213562 and -1.414213562.

Subproblem 1

p + 4 = 1.414213562 Simplifying p + 4 = 1.414213562 Reorder the terms: 4 + p = 1.414213562 Solving 4 + p = 1.414213562 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 = 1.414213562 + -4 Combine like terms: 4 + -4 = 0 0 + p = 1.414213562 + -4 p = 1.414213562 + -4 Combine like terms: 1.414213562 + -4 = -2.585786438 p = -2.585786438 Simplifying p = -2.585786438

Subproblem 2

p + 4 = -1.414213562 Simplifying p + 4 = -1.414213562 Reorder the terms: 4 + p = -1.414213562 Solving 4 + p = -1.414213562 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 = -1.414213562 + -4 Combine like terms: 4 + -4 = 0 0 + p = -1.414213562 + -4 p = -1.414213562 + -4 Combine like terms: -1.414213562 + -4 = -5.414213562 p = -5.414213562 Simplifying p = -5.414213562

Solution

The solution to the problem is based on the solutions from the subproblems. p = {-2.585786438, -5.414213562}

See similar equations:

| z^2-13z+12=a | | 3j+5p=7.6 | | 5x-4+2x+2x+14=360 | | (16x-15)=(30+11x) | | 2y^2-16y-98=0 | | 2b-3.5/0.6=-29 | | 2b-3.5/0.6=-28 | | 3d^2-12d=57 | | (y^4)(z^6)/(y^5)(z^6)=A | | 60.7904=16.2*r^2 | | 6+4+(w+2)+4=0 | | 2y+6=3y-12 | | u^2+8u=19 | | 2f^2-32f-82=0 | | (-x^3)(-3x^2)=A | | 90+4y+x=180 | | (y^4)(y^2)=A | | (18-4x)=(7x+7) | | x+4y=90 | | x=8x+360 | | z^2+20z=41 | | 2x=(457/3) | | 2(6+3N)-4=0 | | -4k^2+72k+92=0 | | 7-6x=8x+1 | | (x^3)(-3x^2)=A | | 140+160+x=360 | | -2j^2-32j=-62 | | 30.3=408.0774*r^2 | | 408.0744=30.3*r^2 | | -3v(-6v^5)= | | 3(x+9)=4x-8 |

Equations solver categories