p(6p+7)(6p-7)=

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


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

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

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

Multiply (7 + 6p) * (-7 + 6p)
p(7(-7 + 6p) + 6p * (-7 + 6p)) = 0
p((-7 * 7 + 6p * 7) + 6p * (-7 + 6p)) = 0
p((-49 + 42p) + 6p * (-7 + 6p)) = 0
p(-49 + 42p + (-7 * 6p + 6p * 6p)) = 0
p(-49 + 42p + (-42p + 36p2)) = 0

Combine like terms: 42p + -42p = 0
p(-49 + 0 + 36p2) = 0
p(-49 + 36p2) = 0
(-49 * p + 36p2 * p) = 0
(-49p + 36p3) = 0

Solving
-49p + 36p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-49 + 36p2) = 0

Factor a difference between two squares.
p((7 + 6p)(-7 + 6p)) = 0


Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0

Subproblem 2
Set the factor '(7 + 6p)' equal to zero and attempt to solve:

Simplifying
7 + 6p = 0

Solving
7 + 6p = 0

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

Add '-7' to each side of the equation.
7 + -7 + 6p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6p = 0 + -7
6p = 0 + -7

Combine like terms: 0 + -7 = -7
6p = -7

Divide each side by '6'.
p = -1.166666667

Simplifying
p = -1.166666667

Subproblem 3
Set the factor '(-7 + 6p)' equal to zero and attempt to solve:

Simplifying
-7 + 6p = 0

Solving
-7 + 6p = 0

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

Add '7' to each side of the equation.
-7 + 7 + 6p = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 6p = 0 + 7
6p = 0 + 7

Combine like terms: 0 + 7 = 7
6p = 7

Divide each side by '6'.
p = 1.166666667

Simplifying
p = 1.166666667
Solution
p = {0, -1.166666667, 1.166666667}

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