p(x)=(x-0)(x-(-2))(x-5i)

Solution for p(x)=(x-0)(x-(-2))(x-5i) equation:

Simplifying
p(x) = (x + 0)(x + -1(-2))(x + -5i)

Multiply p * x
px = (x + 0)(x + -1(-2))(x + -5i)

Reorder the terms:
px = (0 + x)(x + -1(-2))(x + -5i)
Remove the zero:
px = (x)(x + -1(-2))(x + -5i)

Multiply -1 * -2
px = x(x + 2)(x + -5i)

Reorder the terms:
px = x(2 + x)(x + -5i)

Reorder the terms:
px = x(2 + x)(-5i + x)

Multiply (2 + x) * (-5i + x)
px = x(2(-5i + x) + x(-5i + x))
px = x((-5i * 2 + x * 2) + x(-5i + x))
px = x((-10i + 2x) + x(-5i + x))
px = x(-10i + 2x + (-5i * x + x * x))
px = x(-10i + 2x + (-5ix + x2))

Reorder the terms:
px = x(-10i + -5ix + 2x + x2)
px = x(-10i + -5ix + 2x + x2)
px = (-10i * x + -5ix * x + 2x * x + x2 * x)
px = (-10ix + -5ix2 + 2x2 + x3)

Solving
px = -10ix + -5ix2 + 2x2 + x3

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Divide each side by 'x'.
p = -10i + -5ix + 2x + x2

Simplifying
p = -10i + -5ix + 2x + x2