p^2+7p-10=-2p

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

Simplifying
p2 + 7p + -10 = -2p

Reorder the terms:
-10 + 7p + p2 = -2p

Solving
-10 + 7p + p2 = -2p

Solving for variable 'p'.

Reorder the terms:
-10 + 7p + 2p + p2 = -2p + 2p

Combine like terms: 7p + 2p = 9p
-10 + 9p + p2 = -2p + 2p

Combine like terms: -2p + 2p = 0
-10 + 9p + p2 = 0

Factor a trinomial.
(-10 + -1p)(1 + -1p) = 0

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

Simplifying
-10 + -1p = 0

Solving
-10 + -1p = 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 + -1p = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1p = 0 + 10
-1p = 0 + 10

Combine like terms: 0 + 10 = 10
-1p = 10

Divide each side by '-1'.
p = -10

Simplifying
p = -10
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying
1 + -1p = 0

Solving
1 + -1p = 0

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

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

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

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

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

Simplifying
p = 1
Solution
p = {-10, 1}