4p^2-4p-80=0

Simple and best practice solution for 4p^2-4p-80=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 4p^2-4p-80=0 equation:


Simplifying
4p2 + -4p + -80 = 0

Reorder the terms:
-80 + -4p + 4p2 = 0

Solving
-80 + -4p + 4p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-20 + -1p + p2) = 0

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

Ignore the factor 4.

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:

| 13-5*x=7 | | 4p^2-28p+40=0 | | 2p^2+6p-20=0 | | 2x+3(0)=-6 | | 2(0)+3y=-6 | | -9x=58 | | 3009+x=4491 | | 5x+15=x | | 5x+15backtox= | | 44x+3=47 | | 2p^2-14p+2=0 | | (x-1)(x-1)=12 | | 19x+13x-4x= | | 2p^2-14p+12=0 | | 2p^2-2p-60=0 | | 3x+34=2x+18 | | 1-2x+2-6i=0 | | 1-2i+2-6i=0 | | i=108x-215497 | | -7a^2+36a-5=0 | | -14b^2+3b+2=0 | | -265=8-28+35k | | -15r^2-52r-32=0 | | -35v^2+24v-4=0 | | 8+6(4k+6)=-76 | | 6x^3+12x^2+18x= | | -35v^2+81v-40=0 | | 35v^2+81v-40=0 | | -8(7x-7)=56 | | 5p^2+25p-30=0 | | a*a-3a=0 | | -1-4n=-9-5n |

Equations solver categories