7p^2+75p+50=

Solution for 7p^2+75p+50= equation:

Simplifying
7p2 + 75p + 50 = 0

Reorder the terms:
50 + 75p + 7p2 = 0

Solving
50 + 75p + 7p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(10 + p)(5 + 7p) = 0

Subproblem 1
Set the factor '(10 + p)' equal to zero and attempt to solve:

Simplifying
10 + p = 0

Solving
10 + p = 0

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

Add '-10' to each side of the equation.
10 + -10 + p = 0 + -10

Combine like terms: 10 + -10 = 0
0 + p = 0 + -10
p = 0 + -10

Combine like terms: 0 + -10 = -10
p = -10

Simplifying
p = -10
Subproblem 2
Set the factor '(5 + 7p)' equal to zero and attempt to solve:

Simplifying
5 + 7p = 0

Solving
5 + 7p = 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 + 7p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7p = 0 + -5
7p = 0 + -5

Combine like terms: 0 + -5 = -5
7p = -5

Divide each side by '7'.
p = -0.7142857143

Simplifying
p = -0.7142857143
Solution
p = {-10, -0.7142857143}