p^2=20+p

Simple and best practice solution for p^2=20+p 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=20+p equation:


Simplifying
p2 = 20 + p

Solving
p2 = 20 + p

Solving for variable 'p'.

Reorder the terms:
-20 + -1p + p2 = 20 + p + -20 + -1p

Reorder the terms:
-20 + -1p + p2 = 20 + -20 + p + -1p

Combine like terms: 20 + -20 = 0
-20 + -1p + p2 = 0 + p + -1p
-20 + -1p + p2 = p + -1p

Combine like terms: p + -1p = 0
-20 + -1p + p2 = 0

Factor a trinomial.
(-4 + -1p)(5 + -1p) = 0

Subproblem 1

Set the factor '(-4 + -1p)' equal to zero and attempt to solve: Simplifying -4 + -1p = 0 Solving -4 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1p = 0 + 4 -1p = 0 + 4 Combine like terms: 0 + 4 = 4 -1p = 4 Divide each side by '-1'. p = -4 Simplifying p = -4

Subproblem 2

Set the factor '(5 + -1p)' equal to zero and attempt to solve: Simplifying 5 + -1p = 0 Solving 5 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 0 + -5 -1p = 0 + -5 Combine like terms: 0 + -5 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5

Solution

p = {-4, 5}

See similar equations:

| 2(3x-6)=4x+2 | | x^2+y^2-2xy-2y+2x-2y+1=0 | | -x-10=x-10 | | 2.4x=7.92 | | 40x-30=41x-19 | | Log(8)6.5=x | | 21+13=m-4 | | 2x-6+4=20 | | 4x^2+y^2-8x-4y-8=0 | | 5-x=.93 | | 10+7x=49x-39 | | x+8-4=12 | | -(1/2)cos2x | | 2.7x=7.29 | | x(x+5)=Y(y+4) | | f(3a)=2*3a^2-3*3a+4 | | 4x-7=8-2x | | -4n+-4n= | | 100(h+1)-4=76 | | 2cos^3x+2cos^2x-2cosx-1=0 | | 6x+7=-7x-13 | | 13=-z+4 | | 4(3n+6)-7n= | | 6p-9p+3p= | | 6x+7=-7x-14 | | -2(7u-3)+9u=3(u+4) | | (u+1)= | | (2u+4)= | | 6+6x=4x+18 | | 2.9x=7.83 | | p-5=p | | 2y+2=3x+1 |

Equations solver categories