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Solve 3x²-14x=5 by factoring.​

User Dyelawn
by
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1 Answer

3 votes

Answer:

(x-5)(3x+1)=0

x= 5, x= -1/3

Explanation:

3x²-14x=5

3x²-14x-5=0

The factor that goes in are 1 and -15 which equal the sum and products.

Sum: -14

Product: -15

Therefore:

3x²+x-15x-5 = 0

Factor by grouping:

x(3x²+x) -5(-15x-5)

x(3x+1) -5(3x+1)

(x-5)(3x+1) = 0

Use Zero Product Property to solve for X

x-5 = 0 3x+1 = 0

x= 5, x= -1/3

User Shoan
by
8.4k points