Please help solve 2a²+5a+3
did you mean factor, or solve the equation
2a²+5a+3=0 ?
either way it factors to (2a+3)(a+1)
take it from there
To solve the quadratic equation 2a² + 5a + 3, we can factorize or use the quadratic formula. Let's use factoring.
To factorize the quadratic equation, we need to find two numbers that multiply to give 3 (the constant term) and add up to 5 (the coefficient of the middle term).
The factors of 3 are 1 and 3, and their sum is 4. Therefore, we can rewrite the equation as:
2a² + 3a + 2a + 3
Next, we group the terms:
(a² + 3a) + (2a + 3)
Now, factor out the common factors from each group:
a(a + 3) + 1(2a + 3)
This gives us:
(a + 1)(2a + 3)
So, the factored form of the quadratic equation 2a² + 5a + 3 is (a + 1)(2a + 3).
To find the solutions, we set each factor equal to zero:
(a + 1) = 0 and (2a + 3) = 0
Solving these equations gives us:
a = -1 and a = -3/2
Therefore, the solutions to the quadratic equation 2a² + 5a + 3 are a = -1 and a = -3/2.