p(x)=x(x-6)(x+5)

Solution for p(x)=x(x-6)(x+5) equation:

Simplifying
p(x) = x(x + -6)(x + 5)

Multiply p * x
px = x(x + -6)(x + 5)

Reorder the terms:
px = x(-6 + x)(x + 5)

Reorder the terms:
px = x(-6 + x)(5 + x)

Multiply (-6 + x) * (5 + x)
px = x(-6(5 + x) + x(5 + x))
px = x((5 * -6 + x * -6) + x(5 + x))
px = x((-30 + -6x) + x(5 + x))
px = x(-30 + -6x + (5 * x + x * x))
px = x(-30 + -6x + (5x + x2))

Combine like terms: -6x + 5x = -1x
px = x(-30 + -1x + x2)
px = (-30 * x + -1x * x + x2 * x)
px = (-30x + -1x2 + x3)

Solving
px = -30x + -1x2 + 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 = -30 + -1x + x2

Simplifying
p = -30 + -1x + x2