Identify the number and type of solutions to the following polynomial equation: (10x⁶ - 8x⁴ - 3x³ - x² - 2x = -11). Check all that apply.

a. The equation has a total of 4 solutions.
b. The equation has a total of 6 solutions.
c. The equation has either 5, 3, or 1 positive real zeros.
d. The equation has either 4, 2, or 0 positive real zeros.
e. The equation has either 3 or 1 negative real zeros.
f. The equation has either 2 or 0 negative real zeros.