What are the solutions to 6x^2-5x-4=0?
1 answer:
Answer: x=−1/2,4/3
Step-by-step explanation:
1. Split the second term in 6x^2−5x−4 into two terms.
6x^2+3x−8x−4=0
2. Factor out common terms in the first two terms, then in the last two terms.
3x(2x+1)−4(2x+1)=0
3. Factor out the common term 2x+1.
(2x+1)(3x−4)=0
4. Solve for x.
Ask: When will (2x+1)(3x−4) equal zero?
When 2x+1=0 or 3x-4=0
Solve each of the 2 equations above.
x=−1/2,4/3
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