Final answer:
To solve the quadratic equation 2x^2 - 4x - 15 = 15 step by step, rearrange the equation, use the quadratic formula, and simplify the expression to find the values of x.
Step-by-step explanation:
To solve the quadratic equation 2x^2 - 4x - 15 = 15 step by step, we need to rearrange the equation so that one side is equal to 0. Therefore, we have 2x^2 - 4x - 30 = 0. Next, we can use the quadratic formula x = (-b ± sqrt(b^2 - 4ac)) / (2a) to find the values of x. For this equation, a = 2, b = -4, and c = -30. Plugging in these values, we get x = (-(-4) ± sqrt((-4)^2 - 4(2)(-30))) / (2(2)). Simplifying further gives x = (4 ± sqrt(16 + 240)) / 4.