SOLUTION: solve the equation 8x^3 + 4x^2 - 18x - 9 = 0 algebraically for all values of x?

Algebra.Com
Question 243649: solve the equation 8x^3 + 4x^2 - 18x - 9 = 0 algebraically for all values of x?
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!



Factor  out of the first two terms:



Factor  out of the last two terms on the left:



Factor  out of both terms on the left:



Factor the expression in the second parentheses as 
the difference of squares:



Use the zero factor principle:
Set each of the three factors = 0:













Those are the three solutions.

Edwin

RELATED QUESTIONS

Solve the equation {{{8x^3+4x^2-18x-9=0}}} algebraically for all values of x. We've... (answered by nerdybill,jim_thompson5910,scott8148)
Solve the equation 8x3 + 4x2 − 18x − 9 = 0 algebraically for all values of... (answered by palanisamy)
Solve the equation algebraically.... (answered by jim_thompson5910)
find all solutions of the equation algebraically. 8x^4 - 18x^2 = 0 (answered by jim_thompson5910)
solve the equation 3x+15=x^3+5x^2 algebraically for all values of... (answered by Earlsdon)
solve algebraically... (answered by stanbon)
solve the equation algebraically. 4x - 3 = 2 & 9 = 10 - x (answered by ewatrrr)
solve sec x - sqrt( 2 )=0 algebraically for all values (answered by Fombitz)
Solve the equation for all values of x.... (answered by robertb,scott8148)