p(x)=(x+5)(x+2)(x)

Solution for p(x)=(x+5)(x+2)(x) equation:

Simplifying
p(x) = (x + 5)(x + 2)(x)

Multiply p * x
px = (x + 5)(x + 2)(x)

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

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

Reorder the terms for easier multiplication:
px = x(5 + x)(2 + x)

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

Combine like terms: 5x + 2x = 7x
px = x(10 + 7x + x2)
px = (10 * x + 7x * x + x2 * x)
px = (10x + 7x2 + x3)

Solving
px = 10x + 7x2 + 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 = 10 + 7x + x2

Simplifying
p = 10 + 7x + x2