3200=(1200-100p)p

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Solution for 3200=(1200-100p)p equation: 


Simplifying
3200 = (1200 + -100p) * p

Reorder the terms for easier multiplication:
3200 = p(1200 + -100p)
3200 = (1200 * p + -100p * p)
3200 = (1200p + -100p2)

Solving
3200 = 1200p + -100p2

Solving for variable 'p'.

Reorder the terms:
3200 + -1200p + 100p2 = 1200p + -1200p + -100p2 + 100p2

Combine like terms: 1200p + -1200p = 0
3200 + -1200p + 100p2 = 0 + -100p2 + 100p2
3200 + -1200p + 100p2 = -100p2 + 100p2

Combine like terms: -100p2 + 100p2 = 0
3200 + -1200p + 100p2 = 0

Factor out the Greatest Common Factor (GCF), '100'.
100(32 + -12p + p2) = 0

Factor a trinomial.
100((4 + -1p)(8 + -1p)) = 0

Ignore the factor 100.

Subproblem 1
Set the factor '(4 + -1p)' equal to zero and attempt to solve:

Simplifying
4 + -1p = 0

Solving
4 + -1p = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1p = 0 + -4
-1p = 0 + -4

Combine like terms: 0 + -4 = -4
-1p = -4

Divide each side by '-1'.
p = 4

Simplifying
p = 4

Subproblem 2
Set the factor '(8 + -1p)' equal to zero and attempt to solve:

Simplifying
8 + -1p = 0

Solving
8 + -1p = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1p = 0 + -8
-1p = 0 + -8

Combine like terms: 0 + -8 = -8
-1p = -8

Divide each side by '-1'.
p = 8

Simplifying
p = 8
Solution
p = {4, 8}

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