P^2+10=7P

Solution for P^2+10=7P equation:

Simplifying
P2 + 10 = 7P

Reorder the terms:
10 + P2 = 7P

Solving
10 + P2 = 7P

Solving for variable 'P'.

Reorder the terms:
10 + -7P + P2 = 7P + -7P

Combine like terms: 7P + -7P = 0
10 + -7P + P2 = 0

Factor a trinomial.
(2 + -1P)(5 + -1P) = 0

Subproblem 1
Set the factor '(2 + -1P)' equal to zero and attempt to solve:

Simplifying
2 + -1P = 0

Solving
2 + -1P = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1P = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1P = 0 + -2
-1P = 0 + -2

Combine like terms: 0 + -2 = -2
-1P = -2

Divide each side by '-1'.
P = 2

Simplifying
P = 2
Subproblem 2
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
Solution
P = {2, 5}