(3p+2)(5p-1)=

Solution for (3p+2)(5p-1)= equation:

Simplifying
(3p + 2)(5p + -1) = 0

Reorder the terms:
(2 + 3p)(5p + -1) = 0

Reorder the terms:
(2 + 3p)(-1 + 5p) = 0

Multiply (2 + 3p) * (-1 + 5p)
(2(-1 + 5p) + 3p * (-1 + 5p)) = 0
((-1 * 2 + 5p * 2) + 3p * (-1 + 5p)) = 0
((-2 + 10p) + 3p * (-1 + 5p)) = 0
(-2 + 10p + (-1 * 3p + 5p * 3p)) = 0
(-2 + 10p + (-3p + 15p2)) = 0

Combine like terms: 10p + -3p = 7p
(-2 + 7p + 15p2) = 0

Solving
-2 + 7p + 15p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-2 + -3p)(1 + -5p) = 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 '(1 + -5p)' equal to zero and attempt to solve:

Simplifying
1 + -5p = 0

Solving
1 + -5p = 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 + -5p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5p = 0 + -1
-5p = 0 + -1

Combine like terms: 0 + -1 = -1
-5p = -1

Divide each side by '-5'.
p = 0.2

Simplifying
p = 0.2
Solution
p = {-0.6666666667, 0.2}