7p(11p-2)(11p+2)=0

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Solution for 7p(11p-2)(11p+2)=0 equation: 


Simplifying
7p(11p + -2)(11p + 2) = 0

Reorder the terms:
7p(-2 + 11p)(11p + 2) = 0

Reorder the terms:
7p(-2 + 11p)(2 + 11p) = 0

Multiply (-2 + 11p) * (2 + 11p)
7p(-2(2 + 11p) + 11p * (2 + 11p)) = 0
7p((2 * -2 + 11p * -2) + 11p * (2 + 11p)) = 0
7p((-4 + -22p) + 11p * (2 + 11p)) = 0
7p(-4 + -22p + (2 * 11p + 11p * 11p)) = 0
7p(-4 + -22p + (22p + 121p2)) = 0

Combine like terms: -22p + 22p = 0
7p(-4 + 0 + 121p2) = 0
7p(-4 + 121p2) = 0
(-4 * 7p + 121p2 * 7p) = 0
(-28p + 847p3) = 0

Solving
-28p + 847p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '7p'.
7p(-4 + 121p2) = 0

Factor a difference between two squares.
7p((2 + 11p)(-2 + 11p)) = 0

Ignore the factor 7.

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 '(2 + 11p)' equal to zero and attempt to solve:

Simplifying
2 + 11p = 0

Solving
2 + 11p = 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 + 11p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 11p = 0 + -2
11p = 0 + -2

Combine like terms: 0 + -2 = -2
11p = -2

Divide each side by '11'.
p = -0.1818181818

Simplifying
p = -0.1818181818

Subproblem 3
Set the factor '(-2 + 11p)' equal to zero and attempt to solve:

Simplifying
-2 + 11p = 0

Solving
-2 + 11p = 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 + 11p = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 11p = 0 + 2
11p = 0 + 2

Combine like terms: 0 + 2 = 2
11p = 2

Divide each side by '11'.
p = 0.1818181818

Simplifying
p = 0.1818181818
Solution
p = {0, -0.1818181818, 0.1818181818}

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