Solving Equations by Factoring.

Mathematics
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Solve:  3x2 + 8x = 3

Oct 19th, 2015

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9x2y8-3xyy2+4x6y3 

Final result :

  xy3 • (4x5 + 9xy5 - 3)

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "y3"   was replaced by   "y^3".  4 more similar replacement(s).

Step by step solution :

Step  1  :

 Raise  y to the  3rd power

Exponentiation :

Equation at the end of step  1  :

  (((9•(x2))•(y8))-(3xy•(y2)))+((4•(x6))•y3)

Step  2  :

 Raise  x to the  6th power

Exponentiation :

Equation at the end of step  2  :

  (((9•(x2))•(y8))-(3xy•(y2)))+((4•x6)•y3)

Step  3  :

 Raise  y to the  2nd power

Exponentiation :

Equation at the end of step  3  :

  (((9•(x2))•(y8))-(3xy•y2))+22x6y3

Step  4  :

 Multiply  3xy  by  y2

Multiplying exponential expressions :

 4.1   y1 multiplied by y2 = y(1 + 2) = y3

Equation at the end of step  4  :

  (((9•(x2))•(y8))-3xy3)+22x6y3

Step  5  :

 Raise  y to the  8th power

Exponentiation :

Equation at the end of step  5  :

  (((9 • (x2)) • y8) -  3xy3) +  22x6y3

Step  6  :

 Raise  x to the  2nd power

Exponentiation :

Equation at the end of step  6  :

  (((9 • x2) • y8) -  3xy3) +  22x6y3

Step  7  :

Simplify   9x2y8-3xy3  +  22x6y3

Step  8  :

Pulling out like terms :

 7.1   Pull out like factors :

  4x6y3 + 9x2y8 - 3xy3 =  xy3 • (4x5 + 9xy5 - 3) 

Trying to factor a multi variable polynomial :

 7.2   Factoring  4x5 + 9xy5 - 3 

Try to factor this multi-variable trinomial using trial and error 
Factorization fails

Final result :

  xy3 • (4x5 + 9xy5 - 3)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 19th, 2015

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