-3p(2p(p+4)-p^2)=0

Simple and best practice solution for -3p(2p(p+4)-p^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(2p(p+4)-p^2)=0 equation: 


Simplifying
-3p(2p(p + 4) + -1p2) = 0

Reorder the terms:
-3p(2p(4 + p) + -1p2) = 0
-3p((4 * 2p + p * 2p) + -1p2) = 0
-3p((8p + 2p2) + -1p2) = 0

Combine like terms: 2p2 + -1p2 = 1p2
-3p(8p + 1p2) = 0
(8p * -3p + 1p2 * -3p) = 0
(-24p2 + -3p3) = 0

Solving
-24p2 + -3p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '-3p2'.
-3p2(8 + p) = 0

Ignore the factor -3.

Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve:

Simplifying
p2 = 0

Solving
p2 = 0

Move all terms containing p to the left, all other terms to the right.

Simplifying
p2 = 0

Take the square root of each side:
p = {0}

Subproblem 2
Set the factor '(8 + p)' equal to zero and attempt to solve:

Simplifying
8 + p = 0

Solving
8 + p = 0

Move all terms containing p to the left, all other terms to the right.

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

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

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

Simplifying
p = -8
Solution
p = {0, -8}

See similar equations:

| 5(x+4)=85 | | E+16=83 | | 11+p=17 | | 4x+-9x+3x=-26+39-13 | | 3x-x+5=-7 | | 9y^2-42y+48=0 | | .09x=x-1028 | | 0+4=13 | | 8y=86 | | 8x-2=16x-18 | | 26=13y | | 5v-8=2v+10 | | 14(x-7)=1+3x | | -3x+7=-15 | | 417+a=42 | | 25=-21x^3+46x | | 2(x+24+x)=84 | | 182=14g | | 5x-8=-48 | | p-9.75=64 | | 7x-9=4.5x+8.5 | | 7w=4.21 | | .75(x-8)=.50(2x+4) | | -12+7x=21+-4x | | 6m=108 | | -2y+4=33y-33 | | 9+14lnx=7 | | 22-2n=14 | | 6x-29=5 | | 6(w-90)=18 | | 9(p+1)=72 | | (2*X)*(2*y)=1 |

Equations solver categories