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

Solution for (p-1)(5p+3)=0 equation:

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

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

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

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

Combine like terms: -5p + 3p = -2p
(-3 + -2p + 5p2) = 0

Solving
-3 + -2p + 5p2 = 0

Solving for variable 'p'.

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

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

Simplifying
1 + -1p = 0

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

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

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

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

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