(6p-1)(1p-8)=0

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Solution for (6p-1)(1p-8)=0 equation: 


Simplifying
(6p + -1)(1p + -8) = 0

Reorder the terms:
(-1 + 6p)(1p + -8) = 0

Reorder the terms:
(-1 + 6p)(-8 + 1p) = 0

Multiply (-1 + 6p) * (-8 + 1p)
(-1(-8 + 1p) + 6p * (-8 + 1p)) = 0
((-8 * -1 + 1p * -1) + 6p * (-8 + 1p)) = 0
((8 + -1p) + 6p * (-8 + 1p)) = 0
(8 + -1p + (-8 * 6p + 1p * 6p)) = 0
(8 + -1p + (-48p + 6p2)) = 0

Combine like terms: -1p + -48p = -49p
(8 + -49p + 6p2) = 0

Solving
8 + -49p + 6p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(1 + -6p)(8 + -1p) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + -1p)' equal to zero and attempt to solve:

Simplifying
8 + -1p = 0

Solving
8 + -1p = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1p = 0 + -8
-1p = 0 + -8

Combine like terms: 0 + -8 = -8
-1p = -8

Divide each side by '-1'.
p = 8

Simplifying
p = 8
Solution
p = {0.1666666667, 8}

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