p(x)=3(x^2+10+5)-5(x-k)

Solution for p(x)=3(x^2+10+5)-5(x-k) equation:

Simplifying
p(x) = 3(x2 + 10 + 5) + -5(x + -1k)

Multiply p * x
px = 3(x2 + 10 + 5) + -5(x + -1k)

Reorder the terms:
px = 3(10 + 5 + x2) + -5(x + -1k)

Combine like terms: 10 + 5 = 15
px = 3(15 + x2) + -5(x + -1k)
px = (15 * 3 + x2 * 3) + -5(x + -1k)
px = (45 + 3x2) + -5(x + -1k)

Reorder the terms:
px = 45 + 3x2 + -5(-1k + x)
px = 45 + 3x2 + (-1k * -5 + x * -5)
px = 45 + 3x2 + (5k + -5x)

Reorder the terms:
px = 45 + 5k + -5x + 3x2

Solving
px = 45 + 5k + -5x + 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 = 45x-1 + 5kx-1 + -5 + 3x

Simplifying
p = 45x-1 + 5kx-1 + -5 + 3x

Reorder the terms:
p = -5 + 5kx-1 + 45x-1 + 3x