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

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

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

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

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

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

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

Solving
-5 + 25p + 30p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-1 + 5p + 6p2) = 0

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

Ignore the factor 5.
Subproblem 1
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
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 = {-1, 0.1666666667}