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

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


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

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

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

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

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

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

Solving
px = 10 + -7x + x2

Solving for variable 'p'.

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

Divide each side by 'x'.
p = 10x-1 + -7 + x

Simplifying
p = 10x-1 + -7 + x

Reorder the terms:
p = -7 + 10x-1 + x

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