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Chapter 7: Q. 7.157 (page 887)

Solve:18a2-30=-33a

Short Answer

Expert verified

The solution isa=23,-52.

Step by step solution

01

Step 1. Given Information.

The given equation is18a2-30=-33a.

02

Step 2. Factor the equation.

Factor the greatest common factor,

18a2-30=-33a18a2+33a-30=03(6a2+11a-10)=0

Now, Factor the trinomial,

3(6a2+15a-4a-10)=03{3a(2a+50-2(2a+5)}=03(3a-2)(2a+5)=0

03

Step 3. Solution of the equation.

Use the Zero Product Property that is set each factor to 0.

Therefore,

3a-2=0a=232a+5=0a=-52

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