math

The given expression is a quadratic equation. It has three terms, which can be written like this: 2x^2 + 7x + 3. The 2x^2 shows that the equation is of degree 2, or has an x2 term. The 7x term is the middle term and the 3 is the constant term. To solve the equation, we need to use the Quadratic Formula. The quadratic formula states that if ax2 + bx + c = 0, then the solutions are given by x = [-b ± √(b2 - 4ac)]/2a. In our equation, 2x2 + 7x + 3 = 0, so a = 2, b = 7, and c = 3. Plugging this into the formula we get x = [-7 ± √(72 - 4(2)(3))]/2(2), which simplifies to x = [-7 ± √25]/4. The two solutions to the equation are x = [-7 ± 5]/4. Thus the two solutions to this equation are x = -1 and x = 1/2.