p^2+15p-700=0

Solution for p^2+15p-700=0 equation:

Simplifying
p2 + 15p + -700 = 0

Reorder the terms:
-700 + 15p + p2 = 0

Solving
-700 + 15p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-35 + -1p)(20 + -1p) = 0

Subproblem 1
Set the factor '(-35 + -1p)' equal to zero and attempt to solve:

Simplifying
-35 + -1p = 0

Solving
-35 + -1p = 0

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

Add '35' to each side of the equation.
-35 + 35 + -1p = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -1p = 0 + 35
-1p = 0 + 35

Combine like terms: 0 + 35 = 35
-1p = 35

Divide each side by '-1'.
p = -35

Simplifying
p = -35
Subproblem 2
Set the factor '(20 + -1p)' equal to zero and attempt to solve:

Simplifying
20 + -1p = 0

Solving
20 + -1p = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1p = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1p = 0 + -20
-1p = 0 + -20

Combine like terms: 0 + -20 = -20
-1p = -20

Divide each side by '-1'.
p = 20

Simplifying
p = 20
Solution
p = {-35, 20}