4p+8=16p(2p+4)

Simple and best practice solution for 4p+8=16p(2p+4) 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 4p+8=16p(2p+4) equation: 


Simplifying
4p + 8 = 16p(2p + 4)

Reorder the terms:
8 + 4p = 16p(2p + 4)

Reorder the terms:
8 + 4p = 16p(4 + 2p)
8 + 4p = (4 * 16p + 2p * 16p)
8 + 4p = (64p + 32p2)

Solving
8 + 4p = 64p + 32p2

Solving for variable 'p'.

Combine like terms: 4p + -64p = -60p
8 + -60p + -32p2 = 64p + 32p2 + -64p + -32p2

Reorder the terms:
8 + -60p + -32p2 = 64p + -64p + 32p2 + -32p2

Combine like terms: 64p + -64p = 0
8 + -60p + -32p2 = 0 + 32p2 + -32p2
8 + -60p + -32p2 = 32p2 + -32p2

Combine like terms: 32p2 + -32p2 = 0
8 + -60p + -32p2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + -15p + -8p2) = 0

Factor a trinomial.
4((1 + -8p)(2 + p)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(1 + -8p)' equal to zero and attempt to solve:

Simplifying
1 + -8p = 0

Solving
1 + -8p = 0

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

Add '-1' to each side of the equation.
1 + -1 + -8p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8p = 0 + -1
-8p = 0 + -1

Combine like terms: 0 + -1 = -1
-8p = -1

Divide each side by '-8'.
p = 0.125

Simplifying
p = 0.125

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

Simplifying
2 + p = 0

Solving
2 + p = 0

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

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

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

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

Simplifying
p = -2
Solution
p = {0.125, -2}

See similar equations:

| 4p+-1p= | | -3(x+5)=2(x-5) | | -4+[-1)-9= | | 1-5z=11 | | 19=12x+3 | | -3x-14=x+6 | | 5x+2x+110=180 | | 100-9x^2=0 | | 0.3x+0.9=0.9x-3.9 | | 20+4d+d-14=7d+15-2d-9 | | 2(g+5)-g=25 | | -x+18=2x+6 | | (6-4)+(6+4)= | | 23-[4(5-3)3]=-8x | | 2a+2b-2a= | | -2x+8=x+2 | | 0.04(y-9)+0.08y=0.02y-0.5 | | 0.40X+100=0.60X+80 | | 2.4=b^5 | | 2x^2-14x+12=-8 | | -2x-22=2x+6 | | 3a+2b-2a= | | x+17=3x+7 | | z^3=-9 | | -2x-2=2x+6 | | -3+13y+6=16+15y-19 | | 5x-16=x+20 | | 3x-3=11x-23 | | m(9)+7=3 | | 8x-21=52 | | 6x+25=2x+5 | | 6x+27=14x-25 |

Equations solver categories