4000=(1300-100p)p

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Solution for 4000=(1300-100p)p equation: 


Simplifying
4000 = (1300 + -100p) * p

Reorder the terms for easier multiplication:
4000 = p(1300 + -100p)
4000 = (1300 * p + -100p * p)
4000 = (1300p + -100p2)

Solving
4000 = 1300p + -100p2

Solving for variable 'p'.

Reorder the terms:
4000 + -1300p + 100p2 = 1300p + -1300p + -100p2 + 100p2

Combine like terms: 1300p + -1300p = 0
4000 + -1300p + 100p2 = 0 + -100p2 + 100p2
4000 + -1300p + 100p2 = -100p2 + 100p2

Combine like terms: -100p2 + 100p2 = 0
4000 + -1300p + 100p2 = 0

Factor out the Greatest Common Factor (GCF), '100'.
100(40 + -13p + p2) = 0

Factor a trinomial.
100((5 + -1p)(8 + -1p)) = 0

Ignore the factor 100.

Subproblem 1
Set the factor '(5 + -1p)' equal to zero and attempt to solve:

Simplifying
5 + -1p = 0

Solving
5 + -1p = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1p = 0 + -5
-1p = 0 + -5

Combine like terms: 0 + -5 = -5
-1p = -5

Divide each side by '-1'.
p = 5

Simplifying
p = 5

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 = {5, 8}

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