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3 years ago

Solve for a 9a² = 16a College Intermediate Algebra

Mathematics

1 answer:

Fed [463]3 years ago

7 0

We want to solve 9a² = 16a for a.

Because the a is on both sides, a good strategy is to get all the a terms on one side and set it equal to zero. Then we apply the Zero Product Property (if the product is zero then so are its pieces and Factoring.

9a² = 16a

9a² - 16a = 0 <-----subtract 16a from both sides

a (9a - 16) = 0 <-----factor the common a on the left side

a = 0 OR 9a - 16 =0 <----apply Zero Product Property

Since a = 0 is already solved we work on the other equation.

9a - 16 = 0

9a = 16 <----------- add 16 to both sides

a = 16/9 <----------- divide both sides by 9

Thus a = 0 or a = 16/9

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