7p^2-100p-47700=0

Solution for 7p^2-100p-47700=0 equation:

Simplifying
7p2 + -100p + -47700 = 0

Reorder the terms:
-47700 + -100p + 7p2 = 0

Solving
-47700 + -100p + 7p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-530 + -7p)(90 + -1p) = 0

Subproblem 1
Set the factor '(-530 + -7p)' equal to zero and attempt to solve:

Simplifying
-530 + -7p = 0

Solving
-530 + -7p = 0

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

Add '530' to each side of the equation.
-530 + 530 + -7p = 0 + 530

Combine like terms: -530 + 530 = 0
0 + -7p = 0 + 530
-7p = 0 + 530

Combine like terms: 0 + 530 = 530
-7p = 530

Divide each side by '-7'.
p = -75.71428571

Simplifying
p = -75.71428571
Subproblem 2
Set the factor '(90 + -1p)' equal to zero and attempt to solve:

Simplifying
90 + -1p = 0

Solving
90 + -1p = 0

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

Add '-90' to each side of the equation.
90 + -90 + -1p = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -1p = 0 + -90
-1p = 0 + -90

Combine like terms: 0 + -90 = -90
-1p = -90

Divide each side by '-1'.
p = 90

Simplifying
p = 90
Solution
p = {-75.71428571, 90}