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

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

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

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

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

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

Combine like terms: -30p + -5p = -35p
(6 + -35p + 25p2) = 0

Solving
6 + -35p + 25p2 = 0

Solving for variable 'p'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -5p)' equal to zero and attempt to solve:

Simplifying
6 + -5p = 0

Solving
6 + -5p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -5p = 0 + -6

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

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

Divide each side by '-5'.
p = 1.2

Simplifying
p = 1.2
Solution
p = {0.2, 1.2}