10(p^2)+3p=81

Solution for 10(p^2)+3p=81 equation:

Simplifying
10(p2) + 3p = 81

Reorder the terms:
3p + 10p2 = 81

Solving
3p + 10p2 = 81

Solving for variable 'p'.

Reorder the terms:
-81 + 3p + 10p2 = 81 + -81

Combine like terms: 81 + -81 = 0
-81 + 3p + 10p2 = 0

Factor a trinomial.
(-3 + -1p)(27 + -10p) = 0

Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve:

Simplifying
-3 + -1p = 0

Solving
-3 + -1p = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1p = 0 + 3
-1p = 0 + 3

Combine like terms: 0 + 3 = 3
-1p = 3

Divide each side by '-1'.
p = -3

Simplifying
p = -3
Subproblem 2
Set the factor '(27 + -10p)' equal to zero and attempt to solve:

Simplifying
27 + -10p = 0

Solving
27 + -10p = 0

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

Add '-27' to each side of the equation.
27 + -27 + -10p = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -10p = 0 + -27
-10p = 0 + -27

Combine like terms: 0 + -27 = -27
-10p = -27

Divide each side by '-10'.
p = 2.7

Simplifying
p = 2.7
Solution
p = {-3, 2.7}