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

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

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

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

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

Multiply (1 + 6p) * (5 + 6p)
(1(5 + 6p) + 6p * (5 + 6p)) = 0
((5 * 1 + 6p * 1) + 6p * (5 + 6p)) = 0
((5 + 6p) + 6p * (5 + 6p)) = 0
(5 + 6p + (5 * 6p + 6p * 6p)) = 0
(5 + 6p + (30p + 36p2)) = 0

Combine like terms: 6p + 30p = 36p
(5 + 36p + 36p2) = 0

Solving
5 + 36p + 36p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(5 + 6p)(1 + 6p) = 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 + 6p)' equal to zero and attempt to solve:

Simplifying
1 + 6p = 0

Solving
1 + 6p = 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 + 6p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6p = 0 + -1
6p = 0 + -1

Combine like terms: 0 + -1 = -1
6p = -1

Divide each side by '6'.
p = -0.1666666667

Simplifying
p = -0.1666666667
Solution
p = {-0.8333333333, -0.1666666667}