2z^2-6z-20=0

Simple and best practice solution for 2z^2-6z-20=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 2z^2-6z-20=0 equation:


Simplifying
2z2 + -6z + -20 = 0

Reorder the terms:
-20 + -6z + 2z2 = 0

Solving
-20 + -6z + 2z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + -3z + z2) = 0

Factor a trinomial.
2((-2 + -1z)(5 + -1z)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + -1z)' equal to zero and attempt to solve: Simplifying -2 + -1z = 0 Solving -2 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1z = 0 + 2 -1z = 0 + 2 Combine like terms: 0 + 2 = 2 -1z = 2 Divide each side by '-1'. z = -2 Simplifying z = -2

Subproblem 2

Set the factor '(5 + -1z)' equal to zero and attempt to solve: Simplifying 5 + -1z = 0 Solving 5 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = 0 + -5 -1z = 0 + -5 Combine like terms: 0 + -5 = -5 -1z = -5 Divide each side by '-1'. z = 5 Simplifying z = 5

Solution

z = {-2, 5}

See similar equations:

| 2e+3f-5e+2f= | | 7k+63=63 | | 7x^2-24x+72=0 | | 2x-6=-3x+4 | | 2bx=2b-1 | | 35/q=5/3 | | 35/q=5/9 | | sin^4(2x)=4 | | 6(w-6)=4w-28 | | 4n=-3n+3+1 | | 9x+4=5x-7 | | 5(x+9)=c+69 | | (4r-1)(3r+4)= | | y=2x-3/x | | sin(2x)=3 | | -4x+-9y=63 | | 100=120-2x | | 26-17=4x-7 | | ax+2-a=0 | | 2(3+4)=50 | | 4/9=6/x | | -4.9x^2+19.6x+58.8=70 | | 12v+16= | | -4.9x^2+19.6+58.8=70 | | 80-9,99*{2*(100/50)-8} | | SinA=0.56 | | x+84+70=180 | | 8x+57=5x+12 | | N^2=(-30)+11n | | 6x^2+9y^2-10xy+5=2 | | x:2-4=x-6 | | 3x^2-24x+156=0 |

Equations solver categories