p(x)=0.1(x-3)(x-150)

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Solution for p(x)=0.1(x-3)(x-150) equation: 


Simplifying
p(x) = 0.1(x + -3)(x + -150)

Multiply p * x
px = 0.1(x + -3)(x + -150)

Reorder the terms:
px = 0.1(-3 + x)(x + -150)

Reorder the terms:
px = 0.1(-3 + x)(-150 + x)

Multiply (-3 + x) * (-150 + x)
px = 0.1(-3(-150 + x) + x(-150 + x))
px = 0.1((-150 * -3 + x * -3) + x(-150 + x))
px = 0.1((450 + -3x) + x(-150 + x))
px = 0.1(450 + -3x + (-150 * x + x * x))
px = 0.1(450 + -3x + (-150x + x2))

Combine like terms: -3x + -150x = -153x
px = 0.1(450 + -153x + x2)
px = (450 * 0.1 + -153x * 0.1 + x2 * 0.1)
px = (45 + -15.3x + 0.1x2)

Solving
px = 45 + -15.3x + 0.1x2

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 + -15.3 + 0.1x

Simplifying
p = 45x-1 + -15.3 + 0.1x

Reorder the terms:
p = -15.3 + 45x-1 + 0.1x

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