(7p-2)(p-6)=

Solution for (7p-2)(p-6)= equation:

Simplifying
(7p + -2)(p + -6) = 0

Reorder the terms:
(-2 + 7p)(p + -6) = 0

Reorder the terms:
(-2 + 7p)(-6 + p) = 0

Multiply (-2 + 7p) * (-6 + p)
(-2(-6 + p) + 7p * (-6 + p)) = 0
((-6 * -2 + p * -2) + 7p * (-6 + p)) = 0
((12 + -2p) + 7p * (-6 + p)) = 0
(12 + -2p + (-6 * 7p + p * 7p)) = 0
(12 + -2p + (-42p + 7p2)) = 0

Combine like terms: -2p + -42p = -44p
(12 + -44p + 7p2) = 0

Solving
12 + -44p + 7p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(2 + -7p)(6 + -1p) = 0

Subproblem 1
Set the factor '(2 + -7p)' equal to zero and attempt to solve:

Simplifying
2 + -7p = 0

Solving
2 + -7p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7p = 0 + -2
-7p = 0 + -2

Combine like terms: 0 + -2 = -2
-7p = -2

Divide each side by '-7'.
p = 0.2857142857

Simplifying
p = 0.2857142857
Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve:

Simplifying
6 + -1p = 0

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

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

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

Divide each side by '-1'.
p = 6

Simplifying
p = 6
Solution
p = {0.2857142857, 6}