SOLUTION: I need to solve this and show step by step. So here it is: 6x^3-26x^2-20x=0 Ok thanks.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need to solve this and show step by step. So here it is: 6x^3-26x^2-20x=0 Ok thanks.      Log On


   

Question 666451: I need to solve this and show step by step. So here it is: 6x^3-26x^2-20x=0 Ok thanks.
Found 2 solutions by MathLover1, lynnlo:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
6x%5E3-26x%5E2-20x=0+ .....factor out 2x
2x%283x%5E2-13x-10%29=0+.....replace -13x with 2x-15x
2x%283x%5E2%2B2x-15x-10%29=0+.....group
2x%28%283x%5E2%2B2x%29-%2815x%2B10%29%29=0+
2x%28%283x%5E2%2B2x%29-%2815x%2B10%29%29=0+ .factor out x from 3x%5E2%2B2x and 5 from 15x%2B10
2x%28x%283x%2B2%29-5%283x%2B2%29%29=0+
2x%28x-5%29%283x%2B2%29=0+...now we have factor it completely and we can find solutions by setting each factor equal to zero:

if 2x=0+......=>.....x=0
if %28x-5%29=0+......=>.....x=5
if %283x%2B2%29=0+......=>.....3x=-2=>.....x=-2%2F3


+graph%28+600%2C+600%2C+-7%2C+7%2C+-140%2C+7%2C+6x%5E3-26x%5E2-20x%29+


Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
6x^3-26x^2-20x=0
factor left side======2(x-5)x(3x+2)=0
divide both sides by 2======(x-5)x(3x+2)=0
split into 3 equations==x-5=0,x=0,3x+2=0
add 5 to both sides=======x=5,x=0,3x+2=0
subtract 2 from both sides========x=5,x=0,3x=-2
divide and solve=======x=5,x=0, x=-2/3