72=-16p^2+64p+12

Simple and best practice solution for 72=-16p^2+64p+12 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 72=-16p^2+64p+12 equation:


Simplifying
72 = -16p2 + 64p + 12

Reorder the terms:
72 = 12 + 64p + -16p2

Solving
72 = 12 + 64p + -16p2

Solving for variable 'p'.

Combine like terms: 72 + -12 = 60
60 + -64p + 16p2 = 12 + 64p + -16p2 + -12 + -64p + 16p2

Reorder the terms:
60 + -64p + 16p2 = 12 + -12 + 64p + -64p + -16p2 + 16p2

Combine like terms: 12 + -12 = 0
60 + -64p + 16p2 = 0 + 64p + -64p + -16p2 + 16p2
60 + -64p + 16p2 = 64p + -64p + -16p2 + 16p2

Combine like terms: 64p + -64p = 0
60 + -64p + 16p2 = 0 + -16p2 + 16p2
60 + -64p + 16p2 = -16p2 + 16p2

Combine like terms: -16p2 + 16p2 = 0
60 + -64p + 16p2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(15 + -16p + 4p2) = 0

Factor a trinomial.
4((3 + -2p)(5 + -2p)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(3 + -2p)' equal to zero and attempt to solve: Simplifying 3 + -2p = 0 Solving 3 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2p = 0 + -3 -2p = 0 + -3 Combine like terms: 0 + -3 = -3 -2p = -3 Divide each side by '-2'. p = 1.5 Simplifying p = 1.5

Subproblem 2

Set the factor '(5 + -2p)' equal to zero and attempt to solve: Simplifying 5 + -2p = 0 Solving 5 + -2p = 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 + -2p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2p = 0 + -5 -2p = 0 + -5 Combine like terms: 0 + -5 = -5 -2p = -5 Divide each side by '-2'. p = 2.5 Simplifying p = 2.5

Solution

p = {1.5, 2.5}

See similar equations:

| 8x+13=5x-11 | | (0.04x^2+0.2x+12)(0.04x^2+0.2x+12)=144 | | .0016x^4+0.16x^3+1x^2+4.8x+0=0 | | -5(5n+3)=5 | | 8r^3+26r^2-24r= | | 8s^2-18st-5t^2= | | y-2=1(x-0) | | 56-10x*4=5 | | y-45=5(x-5) | | 7u^2+48u-7= | | y-160=-18(x-0) | | 3x+44=6x+8 | | 281000000*23416574584865750000000= | | y-2=3(x-0) | | 5n-21=-2n+28 | | 81b^2-36b+4= | | 2(4z-1)-2(z+4)=3(z+1) | | y-60=8(x-0) | | y-6=2(x-0) | | 25w^2+60w+36= | | 50x+20y= | | -8+3n=2n-10 | | y-16=-3(x-16) | | y-70=-6(x-10) | | y-120= | | 24+12n=96+4n | | 6n+7-4n=2n+7 | | 4x^2+2x+30=0 | | y-60=6(x-0) | | 6v-4=5v-60 | | y-80=-5(x-32) | | 5c^2+4-(4c^2+2)= |

Equations solver categories