SOLUTION: Tutor: How do I factor by grouping: 18a^3-24a^2b+15ab^2-20b^3 and How do I solve the following 18x^2+9x-2=0 I'm just not getting this one, I keep coming up with X=0...I'm lost

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Question 86473: Tutor: How do I factor by grouping: 18a^3-24a^2b+15ab^2-20b^3 and
How do I solve the following 18x^2+9x-2=0 I'm just not getting this one, I keep coming up with X=0...I'm lost!
Thank you

Answer by chitra(359)   (Show Source): You can put this solution on YOUR website!
The first question is factor on grouping:



Between the first two terms we find as the common factor and the next two terms we find as a common factor.

Hence, the above equation can be written as:



Here we observe that (3a - 4b) is a common factor between the terms.



Thus, the solution.

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The second Probelm is to factorize the given quadratic equation.

The given expression is:



==> The middle terms can be factored as +12x and a -3x which when multiplied gives us

Hence, this can be written as:





==> (3x + 2)(6x - 1) = 0

==> Which implies that either of them is equal to zero.

(3x + 2) = 0 OR (6x - 1) = 0

==> 3x = - 2 OR 6x = 1

==> OR x =

Hence, the solution.

Regards




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