p(x)=3*(x-7)*(x+5)

Solution for p(x)=3*(x-7)*(x+5) equation:

Simplifying
p(x) = 3(x + -7)(x + 5)

Multiply p * x
px = 3(x + -7)(x + 5)

Reorder the terms:
px = 3(-7 + x)(x + 5)

Reorder the terms:
px = 3(-7 + x)(5 + x)

Multiply (-7 + x) * (5 + x)
px = 3(-7(5 + x) + x(5 + x))
px = 3((5 * -7 + x * -7) + x(5 + x))
px = 3((-35 + -7x) + x(5 + x))
px = 3(-35 + -7x + (5 * x + x * x))
px = 3(-35 + -7x + (5x + x2))

Combine like terms: -7x + 5x = -2x
px = 3(-35 + -2x + x2)
px = (-35 * 3 + -2x * 3 + x2 * 3)
px = (-105 + -6x + 3x2)

Solving
px = -105 + -6x + 3x2

Solving for variable 'p'.

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

Divide each side by 'x'.
p = -105x-1 + -6 + 3x

Simplifying
p = -105x-1 + -6 + 3x

Reorder the terms:
p = -6 + -105x-1 + 3x