6300=(1600-100p)p

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Solution for 6300=(1600-100p)p equation: 


Simplifying
6300 = (1600 + -100p) * p

Reorder the terms for easier multiplication:
6300 = p(1600 + -100p)
6300 = (1600 * p + -100p * p)
6300 = (1600p + -100p2)

Solving
6300 = 1600p + -100p2

Solving for variable 'p'.

Reorder the terms:
6300 + -1600p + 100p2 = 1600p + -1600p + -100p2 + 100p2

Combine like terms: 1600p + -1600p = 0
6300 + -1600p + 100p2 = 0 + -100p2 + 100p2
6300 + -1600p + 100p2 = -100p2 + 100p2

Combine like terms: -100p2 + 100p2 = 0
6300 + -1600p + 100p2 = 0

Factor out the Greatest Common Factor (GCF), '100'.
100(63 + -16p + p2) = 0

Factor a trinomial.
100((7 + -1p)(9 + -1p)) = 0

Ignore the factor 100.

Subproblem 1
Set the factor '(7 + -1p)' equal to zero and attempt to solve:

Simplifying
7 + -1p = 0

Solving
7 + -1p = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1p = 0 + -7
-1p = 0 + -7

Combine like terms: 0 + -7 = -7
-1p = -7

Divide each side by '-1'.
p = 7

Simplifying
p = 7

Subproblem 2
Set the factor '(9 + -1p)' equal to zero and attempt to solve:

Simplifying
9 + -1p = 0

Solving
9 + -1p = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1p = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1p = 0 + -9
-1p = 0 + -9

Combine like terms: 0 + -9 = -9
-1p = -9

Divide each side by '-1'.
p = 9

Simplifying
p = 9
Solution
p = {7, 9}

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