-p^2-7p+70=10

Solution for -p^2-7p+70=10 equation:

Simplifying
-1p2 + -7p + 70 = 10

Reorder the terms:
70 + -7p + -1p2 = 10

Solving
70 + -7p + -1p2 = 10

Solving for variable 'p'.

Reorder the terms:
70 + -10 + -7p + -1p2 = 10 + -10

Combine like terms: 70 + -10 = 60
60 + -7p + -1p2 = 10 + -10

Combine like terms: 10 + -10 = 0
60 + -7p + -1p2 = 0

Factor a trinomial.
(5 + -1p)(12 + p) = 0

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 '(12 + p)' equal to zero and attempt to solve:

Simplifying
12 + p = 0

Solving
12 + p = 0

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

Add '-12' to each side of the equation.
12 + -12 + p = 0 + -12

Combine like terms: 12 + -12 = 0
0 + p = 0 + -12
p = 0 + -12

Combine like terms: 0 + -12 = -12
p = -12

Simplifying
p = -12
Solution
p = {5, -12}