r(r-2)(r-3)=

Simple and best practice solution for r(r-2)(r-3)= 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 r(r-2)(r-3)= equation:


Simplifying
r(r + -2)(r + -3) = 0

Reorder the terms:
r(-2 + r)(r + -3) = 0

Reorder the terms:
r(-2 + r)(-3 + r) = 0

Multiply (-2 + r) * (-3 + r)
r(-2(-3 + r) + r(-3 + r)) = 0
r((-3 * -2 + r * -2) + r(-3 + r)) = 0
r((6 + -2r) + r(-3 + r)) = 0
r(6 + -2r + (-3 * r + r * r)) = 0
r(6 + -2r + (-3r + r2)) = 0

Combine like terms: -2r + -3r = -5r
r(6 + -5r + r2) = 0
(6 * r + -5r * r + r2 * r) = 0
(6r + -5r2 + r3) = 0

Solving
6r + -5r2 + r3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(6 + -5r + r2) = 0

Factor a trinomial.
r((2 + -1r)(3 + -1r)) = 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 '(2 + -1r)' equal to zero and attempt to solve: Simplifying 2 + -1r = 0 Solving 2 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 0 + -2 -1r = 0 + -2 Combine like terms: 0 + -2 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2

Subproblem 3

Set the factor '(3 + -1r)' equal to zero and attempt to solve: Simplifying 3 + -1r = 0 Solving 3 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 0 + -3 -1r = 0 + -3 Combine like terms: 0 + -3 = -3 -1r = -3 Divide each side by '-1'. r = 3 Simplifying r = 3

Solution

r = {0, 2, 3}

See similar equations:

| 10[s-4]=-95 | | -1-8r+1=-9r+10 | | -4x-13=-x+13 | | 1+3r=10 | | z+13=61 | | -3(2s-s)-6=-3(9s+5)-5 | | -[c-9]=1 | | y=7x+4sinx | | 8+8x=-6+x | | 3px-4=60 | | 3-4n=31 | | 3-0.5(x+3)=0.5x-(x-1.5) | | 3.5x=10x+130 | | 2(y+8.3)+1.2=y-16.6-1.2 | | (2t-5)(t^2+7t+8)= | | 5(n+3)=-30 | | 4[t+4]=-4 | | 3x/7=12/14 | | 100-x=.1174*x | | Tanx^2(sec^2x+1)=tan^3x | | -6(t+1)= | | -123=3-7(5b+8) | | (3i+7)(7i-4)=equation | | 18x-36=12x+3 | | 5(v+2)+v=3(v+1)+1 | | 648=35*t+85*t | | 9-3(4x+1)=4x-3(3x+5) | | -8n+5n=45-97 | | 5(8z-1)-7(4z+1)+8(7-4z)=19 | | -16x^2+550=0 | | y+14=z | | 3px-3=36 |

Equations solver categories