Final answer:
The given expression is a quadratic equation in standard form. By applying the quadratic formula, we can find the solutions for x. In this case, the solutions for x are complex numbers.
Step-by-step explanation:
The given expression is a quadratic equation in standard form, which is written as ax² + bx + c = 0. In this case, the equation is 2x² - 7x + 2x + 20 = 0. By combining like terms, we get 2x² - 5x + 20 = 0.
Now, we can solve this quadratic equation using the quadratic formula, which states that the solutions for x are given by:
x = (-b ± √(b²-4ac))/(2a)
Substituting the values a = 2, b = -5, and c = 20 into the quadratic formula, we find the solutions for x as:
x = (-(-5) ± √((-5)²-4(2)(20)))/(2(2))
x = (5 ± √(25-160))/4
x = (5 ± √(-135))/4
Hence, the solutions for x are complex numbers.