3a to the second power minus 2 a=5
3a to the 2nd power minus 2 a=5
Don't forget completing the square, which is often easier and faster than the quadratic formula.
Sorry. Somehow this was posted to the wrong question.
3a2 - 2a = 5
1. Subtract 5 from both sides, so we have ZERO on the right side:
3a2 - 2a - 5 = 0
(3a - 5) (a + 1) = 0
Now we know that at least one of the values in the parentheses has to equal ZERO, because anything multiplied by Zero is going to equal Zero.
3. Solve each parentheses separately:
3a - 5 = 0 --> 3a = 5 --> a = 5/3
a + 1 = 0 --> a = -1
Answer: a = 5/3 or -1
**Remember you can always double check your answer by plugging it into the original equation!