Math CentralQuandaries & Queries


Question from Corina, a student:

solve: (4x-5)(3x+2)=0

Hi Corina,

If you multiply two non-zero numbers you get a non-zero answer. The only time you get zero is if one of the two numbers is zero, or perhaps both are zero. In you problem two numbers are multiplied together, $(4x - 5)$ and $(3x + 2),$ and the result is zero. Hence either $4x - 5 = 0$ or $3x + 2 = 0.$

Do you see how to complete the problem. Write back if you need more assistance,

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