(p-5)*(3p+2)=

Solution for (p-5)*(3p+2)= equation:

Simplifying
(p + -5)(3p + 2) = 0

Reorder the terms:
(-5 + p)(3p + 2) = 0

Reorder the terms:
(-5 + p)(2 + 3p) = 0

Multiply (-5 + p) * (2 + 3p)
(-5(2 + 3p) + p(2 + 3p)) = 0
((2 * -5 + 3p * -5) + p(2 + 3p)) = 0
((-10 + -15p) + p(2 + 3p)) = 0
(-10 + -15p + (2 * p + 3p * p)) = 0
(-10 + -15p + (2p + 3p2)) = 0

Combine like terms: -15p + 2p = -13p
(-10 + -13p + 3p2) = 0

Solving
-10 + -13p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-2 + -3p)(5 + -1p) = 0

Subproblem 1
Set the factor '(-2 + -3p)' equal to zero and attempt to solve:

Simplifying
-2 + -3p = 0

Solving
-2 + -3p = 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 + -3p = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3p = 0 + 2
-3p = 0 + 2

Combine like terms: 0 + 2 = 2
-3p = 2

Divide each side by '-3'.
p = -0.6666666667

Simplifying
p = -0.6666666667
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 = {-0.6666666667, 5}