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

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

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

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

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

Multiply (3 + 5p) * (1 + p)
(3(1 + p) + 5p * (1 + p)) = 0
((1 * 3 + p * 3) + 5p * (1 + p)) = 0
((3 + 3p) + 5p * (1 + p)) = 0
(3 + 3p + (1 * 5p + p * 5p)) = 0
(3 + 3p + (5p + 5p2)) = 0

Combine like terms: 3p + 5p = 8p
(3 + 8p + 5p2) = 0

Solving
3 + 8p + 5p2 = 0

Solving for variable 'p'.

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

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

Simplifying
1 + p = 0

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

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

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

Simplifying
p = -1
Subproblem 2
Set the factor '(3 + 5p)' equal to zero and attempt to solve:

Simplifying
3 + 5p = 0

Solving
3 + 5p = 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 + 5p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5p = 0 + -3
5p = 0 + -3

Combine like terms: 0 + -3 = -3
5p = -3

Divide each side by '5'.
p = -0.6

Simplifying
p = -0.6
Solution
p = {-1, -0.6}