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Solve the equation by factoring. 15=8x^2-14x

2 Answers

1 vote
8x^2 - 14x - 15 = 0

8 * -15 = -120 so we want 2 numbers which when added give us -14

-20 and 6 look good, so we can write:-

8x^2 - 20x + 6x - 15 = 0

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

2x-5 is common so we have:-

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

4x + 3 = 0 or 2x - 5 = 0

solution is -3/4 and 5/2
User Statut
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5 votes
The solution is the result of 2x−5=0 and 4x+3=0.
x=5/2, −3/4 (That's negative three fourths).
User Hanif Azhari
by
8.3k points

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