6r^3-7r^2+-20r=0

Simple and best practice solution for 6r^3-7r^2+-20r=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 6r^3-7r^2+-20r=0 equation:


Simplifying
6r3 + -7r2 + -20r = 0

Reorder the terms:
-20r + -7r2 + 6r3 = 0

Solving
-20r + -7r2 + 6r3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(-20 + -7r + 6r2) = 0

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

Subproblem 1

Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0

Subproblem 2

Set the factor '(-4 + -3r)' equal to zero and attempt to solve: Simplifying -4 + -3r = 0 Solving -4 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3r = 0 + 4 -3r = 0 + 4 Combine like terms: 0 + 4 = 4 -3r = 4 Divide each side by '-3'. r = -1.333333333 Simplifying r = -1.333333333

Subproblem 3

Set the factor '(5 + -2r)' equal to zero and attempt to solve: Simplifying 5 + -2r = 0 Solving 5 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2r = 0 + -5 -2r = 0 + -5 Combine like terms: 0 + -5 = -5 -2r = -5 Divide each side by '-2'. r = 2.5 Simplifying r = 2.5

Solution

r = {0, -1.333333333, 2.5}

See similar equations:

| x^2+5x+7=-10 | | 6r^3-7r^2+-207r=0 | | 3(-5x-6)=-5 | | 4a-9=35 | | (6a+3b)+(-3a+b)= | | 4x-7=x+3 | | 4(3b+2)=2b+18 | | 3(x+18)=114 | | 10m-19=71 | | 4r^3-11r^2+7r=0 | | 5y-11=39 | | Ax+60y=500 | | 7a+21=0 | | [-1]=0 | | -6(3x+10)+4(2-x)=15 | | 5r^2-12r-9=0 | | (x+12)=180 | | (8x+5x-9)-(3x-6x-2)= | | 4.52u=31.64 | | (x+12)=90 | | 6x*2-24=0 | | [-1]=1 | | (x+12)=140 | | 13x+5=8x+25 | | (x+6)-5+9=0 | | 14k^2+96k+72=0 | | 25n+10n=25n+50 | | 324=4a | | 7a+7=-a+31 | | -x-3(38)(4)-x+4=0 | | 4x-30=80-x | | 15x-25y=-75 |

Equations solver categories