p(7p+4)(7p-4)=

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Solution for p(7p+4)(7p-4)= equation: 


Simplifying
p(7p + 4)(7p + -4) = 0

Reorder the terms:
p(4 + 7p)(7p + -4) = 0

Reorder the terms:
p(4 + 7p)(-4 + 7p) = 0

Multiply (4 + 7p) * (-4 + 7p)
p(4(-4 + 7p) + 7p * (-4 + 7p)) = 0
p((-4 * 4 + 7p * 4) + 7p * (-4 + 7p)) = 0
p((-16 + 28p) + 7p * (-4 + 7p)) = 0
p(-16 + 28p + (-4 * 7p + 7p * 7p)) = 0
p(-16 + 28p + (-28p + 49p2)) = 0

Combine like terms: 28p + -28p = 0
p(-16 + 0 + 49p2) = 0
p(-16 + 49p2) = 0
(-16 * p + 49p2 * p) = 0
(-16p + 49p3) = 0

Solving
-16p + 49p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-16 + 49p2) = 0

Factor a difference between two squares.
p((4 + 7p)(-4 + 7p)) = 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 '(4 + 7p)' equal to zero and attempt to solve:

Simplifying
4 + 7p = 0

Solving
4 + 7p = 0

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

Add '-4' to each side of the equation.
4 + -4 + 7p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7p = 0 + -4
7p = 0 + -4

Combine like terms: 0 + -4 = -4
7p = -4

Divide each side by '7'.
p = -0.5714285714

Simplifying
p = -0.5714285714

Subproblem 3
Set the factor '(-4 + 7p)' equal to zero and attempt to solve:

Simplifying
-4 + 7p = 0

Solving
-4 + 7p = 0

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

Add '4' to each side of the equation.
-4 + 4 + 7p = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 7p = 0 + 4
7p = 0 + 4

Combine like terms: 0 + 4 = 4
7p = 4

Divide each side by '7'.
p = 0.5714285714

Simplifying
p = 0.5714285714
Solution
p = {0, -0.5714285714, 0.5714285714}

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