(6p+5)(5p-1)=0

Solution for (6p+5)(5p-1)=0 equation:

Simplifying
(6p + 5)(5p + -1) = 0

Reorder the terms:
(5 + 6p)(5p + -1) = 0

Reorder the terms:
(5 + 6p)(-1 + 5p) = 0

Multiply (5 + 6p) * (-1 + 5p)
(5(-1 + 5p) + 6p * (-1 + 5p)) = 0
((-1 * 5 + 5p * 5) + 6p * (-1 + 5p)) = 0
((-5 + 25p) + 6p * (-1 + 5p)) = 0
(-5 + 25p + (-1 * 6p + 5p * 6p)) = 0
(-5 + 25p + (-6p + 30p2)) = 0

Combine like terms: 25p + -6p = 19p
(-5 + 19p + 30p2) = 0

Solving
-5 + 19p + 30p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-5 + -6p)(1 + -5p) = 0

Subproblem 1
Set the factor '(-5 + -6p)' equal to zero and attempt to solve:

Simplifying
-5 + -6p = 0

Solving
-5 + -6p = 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 + -6p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6p = 0 + 5
-6p = 0 + 5

Combine like terms: 0 + 5 = 5
-6p = 5

Divide each side by '-6'.
p = -0.8333333333

Simplifying
p = -0.8333333333
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 = {-0.8333333333, 0.2}