20p^2-76p-120=0

Simple and best practice solution for 20p^2-76p-120=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 20p^2-76p-120=0 equation:


Simplifying
20p2 + -76p + -120 = 0

Reorder the terms:
-120 + -76p + 20p2 = 0

Solving
-120 + -76p + 20p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-30 + -19p + 5p2) = 0

Factor a trinomial.
4((-6 + -5p)(5 + -1p)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-6 + -5p)' equal to zero and attempt to solve: Simplifying -6 + -5p = 0 Solving -6 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5p = 0 + 6 -5p = 0 + 6 Combine like terms: 0 + 6 = 6 -5p = 6 Divide each side by '-5'. p = -1.2 Simplifying p = -1.2

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 = {-1.2, 5}

See similar equations:

| 3c-15=17-v | | 15=8y-5+2y | | 2n+9+3n=3(15n+27) | | -2m+4=6m-12 | | 4r+3-7= | | 2/3-6y=-15/6 | | 24w-36=6w | | 5x+10(2x-9)=-4(5x+3) | | 10m^2+18m-36=0 | | 24=2l+2*3 | | 2x-6=-2+4x | | 3-d=4d-5 | | 5t+12=67 | | -15=6p+15+10p | | 3-4(k+5)-2(6-3k)=5 | | 0.5b-9=4b+5 | | 3m+2=5m-7 | | 0.75x-7=86 | | 3(4x-1)=15-3x | | S-4=13 | | x^4-2x^3-5x^2-6x=0 | | 21=2x+3(2+x) | | .75x-7=86 | | 5x+10(2x-9)= | | 3x+1=0.5 | | -2.5e+6.7=-1.3 | | 5x=5x-5 | | -3+2h=-19 | | -4-(-2)=m(2-(-2)) | | 4-5(2-m)=0.5 | | -243=13y | | 2x+8+6x+5= |

Equations solver categories